79968513600 has 420 divisors, whose sum is σ = 295368984064. Its totient is φ = 21221637120.

The previous prime is 79968513589. The next prime is 79968513619. The reversal of 79968513600 is 631586997.

79968513600 is a `hidden beast` number, since 7 + 9 + 9 + 68 + 513 + 60 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 28899417 + ... + 28902183.

Almost surely, 2^79968513600 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 79968513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147684492032).

79968513600 is an abundant number, since it is smaller than the sum of its proper divisors (215400470464).

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

79968513600 is a wasteful number, since it uses less digits than its factorization.

79968513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 79968513600 in words is "seventy-nine billion, nine hundred sixty-eight million, five hundred thirteen thousand, six hundred".