12715466400 has 576 divisors, whose sum is σ = 56608876800. Its totient is φ = 2682408960.

The previous prime is 12715466377. The next prime is 12715466417. The reversal of 12715466400 is 466451721.

12715466400 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 5 + 4 + 6 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1962366 + ... + 1968834.

It is an arithmetic number, because the mean of its divisors is an integer number (98279300).

Almost surely, 2^12715466400 is an apocalyptic number.

12715466400 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 12715466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304438400).

12715466400 is an abundant number, since it is smaller than the sum of its proper divisors (43893410400).

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

12715466400 is a wasteful number, since it uses less digits than its factorization.

12715466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6518 (or 6499 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12715466400 in words is "twelve billion, seven hundred fifteen million, four hundred sixty-six thousand, four hundred".