315783576864 has 768 divisors, whose sum is σ = 1135146700800. Its totient is φ = 83412467712.

The previous prime is 315783576827. The next prime is 315783576929. The reversal of 315783576864 is 468675387513.

It is a happy number.

315783576864 is a `hidden beast` number, since 3 + 1 + 57 + 8 + 3 + 576 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1077759502 + ... + 1077759794.

It is an arithmetic number, because the mean of its divisors is an integer number (1478055600).

Almost surely, 2^315783576864 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 315783576864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567573350400).

315783576864 is an abundant number, since it is smaller than the sum of its proper divisors (819363123936).

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

315783576864 is a wasteful number, since it uses less digits than its factorization.

315783576864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 520 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 315783576864 in words is "three hundred fifteen billion, seven hundred eighty-three million, five hundred seventy-six thousand, eight hundred sixty-four".