79178964480 has 2240 divisors, whose sum is σ = 386428838400. Its totient is φ = 15049359360.

The previous prime is 79178964439. The next prime is 79178964511. The reversal of 79178964480 is 8446987197.

79178964480 is a `hidden beast` number, since 7 + 9 + 17 + 89 + 64 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×79178964480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2730309106 + ... + 2730309134.

Almost surely, 2^79178964480 is an apocalyptic number.

79178964480 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 79178964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193214419200).

79178964480 is an abundant number, since it is smaller than the sum of its proper divisors (307249873920).

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

79178964480 is a wasteful number, since it uses less digits than its factorization.

79178964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 79178964480 in words is "seventy-nine billion, one hundred seventy-eight million, nine hundred sixty-four thousand, four hundred eighty".