STOCKHOLM — Parishioners text tithes to their churches. Homeless street vendors carry mobile credit-card readers. Even the Abba Museum, despite being a shrine to the 1970s pop group that wrote “Money, Money, Money,” considers cash so last-century that it does not accept bills and coins.

Few places are tilting toward a cashless future as quickly as Sweden, which has become hooked on the convenience of paying by app and plastic.

This tech-forward country, home to the music streaming service Spotify and the maker of the Candy Crush mobile games, has been lured by the innovations that make digital payments easier. It is also a practical matter, as many of the country’s banks no longer accept or dispense cash.

At the Abba Museum, “we don’t want to be behind the times by taking cash while cash is dying out,” said Bjorn Ulvaeus, a former Abba member who has leveraged the band’s legacy into a sprawling business empire, including the museum.