312387937680 has 960 divisors, whose sum is σ = 1296685006848. Its totient is φ = 60538060800.

The previous prime is 312387937627. The next prime is 312387937721. The reversal of 312387937680 is 86739783213.

It is a self number, because there is not a number n which added to its sum of digits gives 312387937680.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 271405105 + ... + 271406255.

Almost surely, 2^312387937680 is an apocalyptic number.

312387937680 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 312387937680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648342503424).

312387937680 is an abundant number, since it is smaller than the sum of its proper divisors (984297069168).

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

312387937680 is a wasteful number, since it uses less digits than its factorization.

312387937680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 312387937680 in words is "three hundred twelve billion, three hundred eighty-seven million, nine hundred thirty-seven thousand, six hundred eighty".