315609955500672 has 640 divisors, whose sum is σ = 1076604705792000. Its totient is φ = 89907884181504.

The previous prime is 315609955500641. The next prime is 315609955500677. The reversal of 315609955500672 is 276005559906513.

It is a happy number.

315609955500672 is a `hidden beast` number, since 3 + 1 + 5 + 6 + 0 + 9 + 9 + 5 + 550 + 0 + 6 + 72 = 666.

It is a super-2 number, since 2×315609955500672² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (315609955500677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36960992979 + ... + 36961001517.

It is an arithmetic number, because the mean of its divisors is an integer number (1682194852800).

Almost surely, 2^{315609955500672} is an apocalyptic number.

315609955500672 is a gapful number since it is divisible by the number (32) 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 315609955500672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538302352896000).

315609955500672 is an abundant number, since it is smaller than the sum of its proper divisors (760994750291328).

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

315609955500672 is an equidigital number, since it uses as much as digits as its factorization.

315609955500672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10018 (or 9997 counting only the distinct ones).

The product of its (nonzero) digits is 76545000, while the sum is 63.

The spelling of 315609955500672 in words is "three hundred fifteen trillion, six hundred nine billion, nine hundred fifty-five million, five hundred thousand, six hundred seventy-two".