15797664000 has 432 divisors, whose sum is σ = 59857150080. Its totient is φ = 3989606400.

The previous prime is 15797663971. The next prime is 15797664007. The reversal of 15797664000 is 46679751.

It is a happy number.

15797664000 is a `hidden beast` number, since 1 + 579 + 76 + 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 not an unprimeable number, because it can be changed into a prime (15797664007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5470557 + ... + 5473443.

Almost surely, 2^15797664000 is an apocalyptic number.

15797664000 is a gapful number since it is divisible by the number (10) 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 15797664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29928575040).

15797664000 is an abundant number, since it is smaller than the sum of its proper divisors (44059486080).

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

15797664000 is a wasteful number, since it uses less digits than its factorization.

15797664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 15797664000 in words is "fifteen billion, seven hundred ninety-seven million, six hundred sixty-four thousand".