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At 64 years old, Cher still has the body to rock skin-tight leggings and she did just that last night on her way into the Late Show With David Letterman.

Hot on the promo trail pitching her upcoming film Burlesque, in which Christina Aguilera co-stars, the living legend wow'd fans outside the studio with her diva-in-black get-up.

This girl doesn't need to "turn back time," she's lookin' hot in the present tense!

And speaking of hot, Cher opened up to David Letterman about her romantic conquests, listing Warren Beatty, Tom Cruise, and Gene Simmons among them ...