96372864000 has 2112 divisors, whose sum is σ = 454320023040. Its totient is φ = 19110297600.

The previous prime is 96372863989. The next prime is 96372864001. The reversal of 96372864000 is 46827369.

96372864000 = 235³ + 236³ + ... + 789³.

96372864000 is a `hidden beast` number, since 9 + 637 + 2 + 8 + 6 + 4 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96372864001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2604671982 + ... + 2604672018.

Almost surely, 2^96372864000 is an apocalyptic number.

96372864000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96372864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227160011520).

96372864000 is an abundant number, since it is smaller than the sum of its proper divisors (357947159040).

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

96372864000 is a wasteful number, since it uses less digits than its factorization.

96372864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 96372864000 in words is "ninety-six billion, three hundred seventy-two million, eight hundred sixty-four thousand".