94957505664 has 512 divisors, whose sum is σ = 321887846400. Its totient is φ = 24186470400.

The previous prime is 94957505609. The next prime is 94957505707. The reversal of 94957505664 is 46650575949.

It is a junction number, because it is equal to n+sod(n) for n = 94957505598 and 94957505607.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58578774 + ... + 58580394.

It is an arithmetic number, because the mean of its divisors is an integer number (628687200).

Almost surely, 2^94957505664 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 94957505664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160943923200).

94957505664 is an abundant number, since it is smaller than the sum of its proper divisors (226930340736).

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

94957505664 is a wasteful number, since it uses less digits than its factorization.

94957505664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 60.

The spelling of 94957505664 in words is "ninety-four billion, nine hundred fifty-seven million, five hundred five thousand, six hundred sixty-four".