79472507184 has 800 divisors, whose sum is σ = 290381414400. Its totient is φ = 20474519040.

The previous prime is 79472507143. The next prime is 79472507201. The reversal of 79472507184 is 48170527497.

It is a super-2 number, since 2×79472507184² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 79472507184.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 571744587 + ... + 571744725.

It is an arithmetic number, because the mean of its divisors is an integer number (362976768).

Almost surely, 2^79472507184 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 79472507184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145190707200).

79472507184 is an abundant number, since it is smaller than the sum of its proper divisors (210908907216).

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

79472507184 is a wasteful number, since it uses less digits than its factorization.

79472507184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 79472507184 in words is "seventy-nine billion, four hundred seventy-two million, five hundred seven thousand, one hundred eighty-four".