312764187264 has 128 divisors (see below), whose sum is σ = 837921758400. Its totient is φ = 103360487424.

The previous prime is 312764187257. The next prime is 312764187271. The reversal of 312764187264 is 462781467213.

It is an interprime number because it is at equal distance from previous prime (312764187257) and next prime (312764187271).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46133827 + ... + 46140605.

Almost surely, 2^312764187264 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 312764187264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418960879200).

312764187264 is an abundant number, since it is smaller than the sum of its proper divisors (525157571136).

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

312764187264 is a wasteful number, since it uses less digits than its factorization.

312764187264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7810 (or 7798 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 51.

The spelling of 312764187264 in words is "three hundred twelve billion, seven hundred sixty-four million, one hundred eighty-seven thousand, two hundred sixty-four".