79147464480 has 288 divisors, whose sum is σ = 313284875904. Its totient is φ = 17820684288.

The previous prime is 79147464467. The next prime is 79147464493. The reversal of 79147464480 is 8446474197.

79147464480 is a `hidden beast` number, since 7 + 91 + 4 + 74 + 6 + 4 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (79147464467) and next prime (79147464493).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×79147464480² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 616764 + ... + 733956.

It is an arithmetic number, because the mean of its divisors is an integer number (1087794708).

Almost surely, 2^79147464480 is an apocalyptic number.

79147464480 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 79147464480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156642437952).

79147464480 is an abundant number, since it is smaller than the sum of its proper divisors (234137411424).

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

79147464480 is a wasteful number, since it uses less digits than its factorization.

79147464480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117288 (or 117277 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 79147464480 in words is "seventy-nine billion, one hundred forty-seven million, four hundred sixty-four thousand, four hundred eighty".