Final answer:
Frank Zappa is the musician renowned for releasing more than 60 albums in his lifetime and for leading the band The Mothers of Invention, which played a significant role in the rock music scene of the 1960s.
Step-by-step explanation:
The late rocker who released more than 60 albums and called his backing band 'The Mothers of Invention' is none other than Frank Zappa. Frank Zappa was a critical figure in the growth of rock music, experimenting with various genres, including rock, jazz, and classical.
Zappa, along with The Mothers of Invention, made significant contributions to rock music with his unique style and approach to composition, and the group's influence extended well into the culture of the 1960s, paralleling other significant events in rock history such as the rise of British rock band The Beatles and the iconic Woodstock festival.