79664255723520 has 960 divisors, whose sum is σ = 307766611152000. Its totient is φ = 19593055567872.

The previous prime is 79664255723491. The next prime is 79664255723597. The reversal of 79664255723520 is 2532755246697.

79664255723520 is a `hidden beast` number, since 7 + 9 + 6 + 6 + 4 + 2 + 5 + 572 + 3 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17025912541 + ... + 17025917219.

It is an arithmetic number, because the mean of its divisors is an integer number (320590219950).

Almost surely, 2^{79664255723520} 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 79664255723520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153883305576000).

79664255723520 is an abundant number, since it is smaller than the sum of its proper divisors (228102355428480).

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

79664255723520 is a wasteful number, since it uses less digits than its factorization.

79664255723520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6310 (or 6281 counting only the distinct ones).

The product of its (nonzero) digits is 190512000, while the sum is 63.

The spelling of 79664255723520 in words is "seventy-nine trillion, six hundred sixty-four billion, two hundred fifty-five million, seven hundred twenty-three thousand, five hundred twenty".