79475868748800 has 660 divisors, whose sum is σ = 295181439975576. Its totient is φ = 21129353625600.

The previous prime is 79475868748777. The next prime is 79475868748847. The reversal of 79475868748800 is 884786857497.

79475868748800 is a `hidden beast` number, since 7 + 9 + 4 + 7 + 58 + 6 + 87 + 488 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 79475868748800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 686303704 + ... + 686419496.

Almost surely, 2^{79475868748800} 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 79475868748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147590719987788).

79475868748800 is an abundant number, since it is smaller than the sum of its proper divisors (215705571226776).

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

79475868748800 is a wasteful number, since it uses less digits than its factorization.

79475868748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116166 (or 116134 counting only the distinct ones).

The product of its (nonzero) digits is 6069288960, while the sum is 81.

The spelling of 79475868748800 in words is "seventy-nine trillion, four hundred seventy-five billion, eight hundred sixty-eight million, seven hundred forty-eight thousand, eight hundred".