79266362400 has 576 divisors, whose sum is σ = 305924169600. Its totient is φ = 19738460160.

The previous prime is 79266362377. The next prime is 79266362431. The reversal of 79266362400 is 426366297.

79266362400 is a `hidden beast` number, since 7 + 9 + 2 + 6 + 636 + 2 + 4 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51040024 + ... + 51041576.

It is an arithmetic number, because the mean of its divisors is an integer number (531118350).

Almost surely, 2^79266362400 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 79266362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152962084800).

79266362400 is an abundant number, since it is smaller than the sum of its proper divisors (226657807200).

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

79266362400 is a wasteful number, since it uses less digits than its factorization.

79266362400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 79266362400 in words is "seventy-nine billion, two hundred sixty-six million, three hundred sixty-two thousand, four hundred".