79960760474400 has 2880 divisors, whose sum is σ = 336745646899200. Its totient is φ = 18301902151680.

The previous prime is 79960760474389. The next prime is 79960760474431. The reversal of 79960760474400 is 447406706997.

79960760474400 is a `hidden beast` number, since 7 + 9 + 9 + 60 + 7 + 60 + 474 + 40 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 282546856659 + ... + 282546856941.

It is an arithmetic number, because the mean of its divisors is an integer number (116925571840).

Almost surely, 2^{79960760474400} 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 79960760474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168372823449600).

79960760474400 is an abundant number, since it is smaller than the sum of its proper divisors (256784886424800).

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

79960760474400 is a wasteful number, since it uses less digits than its factorization.

79960760474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 79960760474400 in words is "seventy-nine trillion, nine hundred sixty billion, seven hundred sixty million, four hundred seventy-four thousand, four hundred".