Madonna's new six-track "Christmas gift" to fans has topped the iTunes charts in 36 countries in just hours.

The pop superstar has released the new tracks from her forthcoming Rebel Heart album in response to a hack attack, which led to her unfinished demos hitting the Internet last month (Nov14).

The new songs, featuring a new duet with Nicki Minaj on B**ch, I'm Madonna, were released to online download stores on Saturday night (20Dec14) - and they're already proving to be big hits around the world.

Her spokeswoman Liz Rosenberg tells Wenn, "In virtually every country the songs were released, they held six of the ten slots on the Top 10 iTunes chart. In seven of those countries, she had multiple number ones. The single Living for Love is currently number one in 20 countries."

Rebel Heart will be released in March (15).