93997260864 has 672 divisors, whose sum is σ = 320608391040. Its totient is φ = 26835038208.

The previous prime is 93997260839. The next prime is 93997260923. The reversal of 93997260864 is 46806279939.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 543336682 + ... + 543336854.

It is an arithmetic number, because the mean of its divisors is an integer number (477095820).

Almost surely, 2^93997260864 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 93997260864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160304195520).

93997260864 is an abundant number, since it is smaller than the sum of its proper divisors (226611130176).

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

93997260864 is a wasteful number, since it uses less digits than its factorization.

93997260864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 93997260864 in words is "ninety-three billion, nine hundred ninety-seven million, two hundred sixty thousand, eight hundred sixty-four".