96391033766064 has 720 divisors, whose sum is σ = 301436444749440. Its totient is φ = 29798881136640.

The previous prime is 96391033766057. The next prime is 96391033766081. The reversal of 96391033766064 is 46066733019369.

96391033766064 is a `hidden beast` number, since 9 + 6 + 3 + 9 + 10 + 3 + 3 + 7 + 6 + 606 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 96391033765992 and 96391033766010.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12293202784 + ... + 12293210624.

Almost surely, 2^{96391033766064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96391033766064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150718222374720).

96391033766064 is an abundant number, since it is smaller than the sum of its proper divisors (205045410983376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96391033766064 is a wasteful number, since it uses less digits than its factorization.

96391033766064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8092 (or 8051 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 63.

The spelling of 96391033766064 in words is "ninety-six trillion, three hundred ninety-one billion, thirty-three million, seven hundred sixty-six thousand, sixty-four".