315368064000 has 1056 divisors, whose sum is σ = 1272096064512. Its totient is φ = 74465280000.

The previous prime is 315368063951. The next prime is 315368064061. The reversal of 315368064000 is 460863513.

315368064000 is a `hidden beast` number, since 3 + 1 + 5 + 3 + 6 + 8 + 0 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×315368064000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 519551697 + ... + 519552303.

Almost surely, 2^315368064000 is an apocalyptic number.

315368064000 is a gapful number since it is divisible by the number (30) 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 315368064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636048032256).

315368064000 is an abundant number, since it is smaller than the sum of its proper divisors (956728000512).

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

315368064000 is a wasteful number, since it uses less digits than its factorization.

315368064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 315368064000 in words is "three hundred fifteen billion, three hundred sixty-eight million, sixty-four thousand".