Presumptive Republican presidential nominee Donald Trump Donald John TrumpObama calls on Senate not to fill Ginsburg's vacancy until after election Planned Parenthood: 'The fate of our rights' depends on Ginsburg replacement Progressive group to spend M in ad campaign on Supreme Court vacancy MORE unleashed on Democratic front-runner Hillary Clinton Hillary Diane Rodham ClintonWhat Senate Republicans have said about election-year Supreme Court vacancies Bipartisan praise pours in after Ginsburg's death Trump carries on with rally, unaware of Ginsburg's death MORE at a rally Wednesday, saying she has "no natural talents" that make her suitable to the presidency.

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"She has no natural talents to be president. This is not a president," Trump said at a rally in Sacramento, Calif. "A lot of people think I look extremely presidential.

"This is not presidential material," he added of Clinton.

Trump reiterated the false claim he has made about Clinton during his transition to a general election campaign that "Hillary Clinton wants to abolish the Second Amendment," a statement that has been deemed "false" by Politifact.

He also called her the worst secretary of State in history and said anybody else embroiled in her current email scandal would be in prison.

"Honestly, she should not be allowed to run. It's a disgrace to the laws of our country," Trump said, referring to the FBI's investigation into Clinton's use of a private email server while secretary of State.

"I'll tell you what. She doesn't know what the hell she's doing. It's going to be another four years of disaster," Trump said, adding that California voters would probably be "better off" with Democratic presidential candidate Bernie Sanders Bernie SandersKenosha will be a good bellwether in 2020 Biden's fiscal program: What is the likely market impact? McConnell accuses Democrats of sowing division by 'downplaying progress' on election security MORE as their president.

"But that's not going to happen," he said.

Trump's attacks come as Clinton shifts her focus toward the general election. She has jumped on the Trump University scandal, describing the program as a "fraudulent scheme."

"Trump himself is a fraud. He is trying to scam America the way he scammed all those people at Trump U," Clinton said at a rally in Newark, N.J., Wednesday.

"It’s important that we recognize what he has done, because that’s usually a pretty good indicator of what he will do."