There actually is a sextuple star system in the night sky.
Castor looks like a single star but actually consists of three binary stars: two of them in a binary system that is itself in a binary system with the other binary star.
I don't know if there could be a stable position for a planet that would never experience nights, but there is at least some reason behind the idea.
Isaac Asimov is a science fiction author (a good one, too), but the work he created was not a real description of our universe -- it was fiction, and playing with ideas.