79638612480 has 640 divisors, whose sum is σ = 340349644800. Its totient is φ = 17243062272.

The previous prime is 79638612467. The next prime is 79638612509. The reversal of 79638612480 is 8421683697.

79638612480 is a `hidden beast` number, since 79 + 6 + 3 + 86 + 12 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×79638612480² (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 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 63 ways as a sum of consecutive naturals, for example, 9188629 + ... + 9197291.

It is an arithmetic number, because the mean of its divisors is an integer number (531796320).

Almost surely, 2^79638612480 is an apocalyptic number.

79638612480 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 79638612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170174822400).

79638612480 is an abundant number, since it is smaller than the sum of its proper divisors (260711032320).

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

79638612480 is a wasteful number, since it uses less digits than its factorization.

79638612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8721 (or 8699 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 79638612480 in words is "seventy-nine billion, six hundred thirty-eight million, six hundred twelve thousand, four hundred eighty".