312404376960 has 1152 divisors, whose sum is σ = 1239470013600. Its totient is φ = 74816815104.

The previous prime is 312404376929. The next prime is 312404376961. The reversal of 312404376960 is 69673404213.

312404376960 is a `hidden beast` number, since 3 + 124 + 0 + 437 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312404376961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3220663632 + ... + 3220663728.

Almost surely, 2^312404376960 is an apocalyptic number.

312404376960 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 312404376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619735006800).

312404376960 is an abundant number, since it is smaller than the sum of its proper divisors (927065636640).

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

312404376960 is an frugal number, since it uses more digits than its factorization.

312404376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 312404376960 in words is "three hundred twelve billion, four hundred four million, three hundred seventy-six thousand, nine hundred sixty".