79652314925568 has 640 divisors, whose sum is σ = 303437515898880. Its totient is φ = 20021520384000.

The previous prime is 79652314925551. The next prime is 79652314925569. The reversal of 79652314925568 is 86552941325697.

79652314925568 is a `hidden beast` number, since 7 + 9 + 6 + 5 + 2 + 31 + 4 + 9 + 25 + 568 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 79652314925496 and 79652314925505.

It is not an unprimeable number, because it can be changed into a prime (79652314925569) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31790958 + ... + 34204818.

It is an arithmetic number, because the mean of its divisors is an integer number (474121118592).

Almost surely, 2^{79652314925568} 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 79652314925568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151718757949440).

79652314925568 is an abundant number, since it is smaller than the sum of its proper divisors (223785200973312).

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

79652314925568 is a wasteful number, since it uses less digits than its factorization.

79652314925568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413937 (or 2413915 counting only the distinct ones).

The product of its digits is 979776000, while the sum is 72.

The spelling of 79652314925568 in words is "seventy-nine trillion, six hundred fifty-two billion, three hundred fourteen million, nine hundred twenty-five thousand, five hundred sixty-eight".