It’s an enumerated responsibility, but it’s not an enumerated power. I can recommend to Congress’s consideration such measures as I judge necessary and expedient, too. Heck, a fellow in Brisbane, Australia who’s never been within ten thousand miles of the US can make recommendations to the US congress, too.
The VP does what any second in command does. Helps out, organizes stuff, takes care of lighter weight stuff the boss doesn’t need to take care of, and taking over on days the boss calls in sick.
Lots of people deride the VP as being worthless, but thats an ignorant opinion, probably due to the lack of face time in front of the cameras when compared to the president. He’s still the second most powerful person in the US(unless you want to count the Chief Justice). Certainly moreso than any senator.