79914729600 has 768 divisors, whose sum is σ = 312177936000. Its totient is φ = 20155392000.

The previous prime is 79914729577. The next prime is 79914729691. The reversal of 79914729600 is 692741997.

79914729600 is a `hidden beast` number, since 7 + 9 + 9 + 1 + 4 + 7 + 29 + 600 = 666.

It is a super-2 number, since 2×79914729600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132969300 + ... + 132969900.

Almost surely, 2^79914729600 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 79914729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156088968000).

79914729600 is an abundant number, since it is smaller than the sum of its proper divisors (232263206400).

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

79914729600 is an equidigital number, since it uses as much as digits as its factorization.

79914729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 79914729600 in words is "seventy-nine billion, nine hundred fourteen million, seven hundred twenty-nine thousand, six hundred".