79655964960 has 288 divisors, whose sum is σ = 297018792000. Its totient is φ = 17824942080.

The previous prime is 79655964923. The next prime is 79655964961. The reversal of 79655964960 is 6946955697.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 79655964891 and 79655964900.

It is not an unprimeable number, because it can be changed into a prime (79655964961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 702291 + ... + 807789.

It is an arithmetic number, because the mean of its divisors is an integer number (1031315250).

Almost surely, 2^79655964960 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 79655964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148509396000).

79655964960 is an abundant number, since it is smaller than the sum of its proper divisors (217362827040).

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

79655964960 is a wasteful number, since it uses less digits than its factorization.

79655964960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105552 (or 105533 counting only the distinct ones).

The product of its (nonzero) digits is 110224800, while the sum is 66.

The spelling of 79655964960 in words is "seventy-nine billion, six hundred fifty-five million, nine hundred sixty-four thousand, nine hundred sixty".