312634606720 has 256 divisors, whose sum is σ = 795980908800. Its totient is φ = 117231206400.

The previous prime is 312634606717. The next prime is 312634606727. The reversal of 312634606720 is 27606436213.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (312634606727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88288150 + ... + 88291690.

It is an arithmetic number, because the mean of its divisors is an integer number (3109300425).

Almost surely, 2^312634606720 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 312634606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397990454400).

312634606720 is an abundant number, since it is smaller than the sum of its proper divisors (483346302080).

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

312634606720 is a wasteful number, since it uses less digits than its factorization.

312634606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The spelling of 312634606720 in words is "three hundred twelve billion, six hundred thirty-four million, six hundred six thousand, seven hundred twenty".