7179396456960 has 3600 divisors, whose sum is σ = 33560362854216. Its totient is φ = 1460791148544.

The previous prime is 7179396456941. The next prime is 7179396456971. The reversal of 7179396456960 is 696546939717.

7179396456960 is a `hidden beast` number, since 7 + 179 + 396 + 4 + 5 + 6 + 9 + 60 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 199401543936 + 6979994913024 = 446544^2 + 2641968^2 .

It is a super-2 number, since 2×7179396456960² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 63534481864 + ... + 63534481976.

Almost surely, 2^{7179396456960} is an apocalyptic number.

7179396456960 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 7179396456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16780181427108).

7179396456960 is an abundant number, since it is smaller than the sum of its proper divisors (26380966397256).

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

7179396456960 is a wasteful number, since it uses less digits than its factorization.

7179396456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 462944160, while the sum is 72.

The spelling of 7179396456960 in words is "seven trillion, one hundred seventy-nine billion, three hundred ninety-six million, four hundred fifty-six thousand, nine hundred sixty".