79568486400 has 720 divisors, whose sum is σ = 301027545504. Its totient is φ = 18371051520.

The previous prime is 79568486369. The next prime is 79568486423. The reversal of 79568486400 is 468486597.

It is a super-2 number, since 2×79568486400² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 271564654 + ... + 271564946.

Almost surely, 2^79568486400 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 79568486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150513772752).

79568486400 is an abundant number, since it is smaller than the sum of its proper divisors (221459059104).

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

79568486400 is a wasteful number, since it uses less digits than its factorization.

79568486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 79568486400 in words is "seventy-nine billion, five hundred sixty-eight million, four hundred eighty-six thousand, four hundred".