312937927680 has 264 divisors, whose sum is σ = 1164329473248. Its totient is φ = 71528497152.

The previous prime is 312937927669. The next prime is 312937927781. The reversal of 312937927680 is 86729739213.

It is a self number, because there is not a number n which added to its sum of digits gives 312937927680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 544747 + ... + 960533.

Almost surely, 2^312937927680 is an apocalyptic number.

312937927680 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 312937927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582164736624).

312937927680 is an abundant number, since it is smaller than the sum of its proper divisors (851391545568).

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

312937927680 is a wasteful number, since it uses less digits than its factorization.

312937927680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415829 (or 415804 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 312937927680 in words is "three hundred twelve billion, nine hundred thirty-seven million, nine hundred twenty-seven thousand, six hundred eighty".