79680614400 has 468 divisors, whose sum is σ = 294710869440. Its totient is φ = 20555366400.

The previous prime is 79680614383. The next prime is 79680614411. The reversal of 79680614400 is 441608697.

79680614400 is a `hidden beast` number, since 79 + 6 + 80 + 61 + 440 + 0 = 666.

It is a super-2 number, since 2×79680614400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28568206 + ... + 28570994.

It is an arithmetic number, because the mean of its divisors is an integer number (629724080).

Almost surely, 2^79680614400 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 79680614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147355434720).

79680614400 is an abundant number, since it is smaller than the sum of its proper divisors (215030255040).

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

79680614400 is a wasteful number, since it uses less digits than its factorization.

79680614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 79680614400 in words is "seventy-nine billion, six hundred eighty million, six hundred fourteen thousand, four hundred".