12756974400 has 252 divisors, whose sum is σ = 45813750892. Its totient is φ = 3366420480.

The previous prime is 12756974383. The next prime is 12756974411. The reversal of 12756974400 is 447965721.

12756974400 is a `hidden beast` number, since 12 + 7 + 569 + 74 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 627264 + 12756347136 = 792^2 + 112944^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1392234 + ... + 1401366.

Almost surely, 2^12756974400 is an apocalyptic number.

12756974400 is a gapful number since it is divisible by the number (10) 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 12756974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22906875446).

12756974400 is an abundant number, since it is smaller than the sum of its proper divisors (33056776492).

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

12756974400 is a wasteful number, since it uses less digits than its factorization.

12756974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9258 (or 9240 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 12756974400 in words is "twelve billion, seven hundred fifty-six million, nine hundred seventy-four thousand, four hundred".