312623725760 has 112 divisors (see below), whose sum is σ = 746818887360. Its totient is φ = 124649902080.

The previous prime is 312623725721. The next prime is 312623725763. The reversal of 312623725760 is 67527326213.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (312623725763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192857750 + ... + 192859370.

It is an arithmetic number, because the mean of its divisors is an integer number (6668025780).

Almost surely, 2^312623725760 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 312623725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373409443680).

312623725760 is an abundant number, since it is smaller than the sum of its proper divisors (434195161600).

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

312623725760 is a wasteful number, since it uses less digits than its factorization.

312623725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 44.

The spelling of 312623725760 in words is "three hundred twelve billion, six hundred twenty-three million, seven hundred twenty-five thousand, seven hundred sixty".