79427174400 has 1344 divisors, whose sum is σ = 355283584800. Its totient is φ = 17199267840.

The previous prime is 79427174369. The next prime is 79427174429. The reversal of 79427174400 is 447172497.

79427174400 is a `hidden beast` number, since 79 + 4 + 2 + 7 + 174 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 83 ways as a sum of consecutive naturals, for example, 4180377591 + ... + 4180377609.

Almost surely, 2^79427174400 is an apocalyptic number.

79427174400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79427174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177641792400).

79427174400 is an abundant number, since it is smaller than the sum of its proper divisors (275856410400).

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

79427174400 is an frugal number, since it uses more digits than its factorization.

79427174400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 79427174400 in words is "seventy-nine billion, four hundred twenty-seven million, one hundred seventy-four thousand, four hundred".