315640670400 has 1176 divisors, whose sum is σ = 1291561952304. Its totient is φ = 75246796800.

The previous prime is 315640670381. The next prime is 315640670419. The reversal of 315640670400 is 4076046513.

It is a happy number.

315640670400 is a `hidden beast` number, since 3 + 1 + 5 + 640 + 6 + 7 + 0 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (315640670381) and next prime (315640670419).

It is a super-2 number, since 2×315640670400² (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 167 ways as a sum of consecutive naturals, for example, 936619032 + ... + 936619368.

Almost surely, 2^315640670400 is an apocalyptic number.

315640670400 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 315640670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645780976152).

315640670400 is an abundant number, since it is smaller than the sum of its proper divisors (975921281904).

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

315640670400 is a wasteful number, since it uses less digits than its factorization.

315640670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 315640670400 in words is "three hundred fifteen billion, six hundred forty million, six hundred seventy thousand, four hundred".