79574345760 has 576 divisors, whose sum is σ = 317368098432. Its totient is φ = 16610033664.

The previous prime is 79574345737. The next prime is 79574345791. The reversal of 79574345760 is 6754347597.

It is a self number, because there is not a number n which added to its sum of digits gives 79574345760.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29657379 + ... + 29660061.

It is an arithmetic number, because the mean of its divisors is an integer number (550986282).

Almost surely, 2^79574345760 is an apocalyptic number.

79574345760 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 79574345760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158684049216).

79574345760 is an abundant number, since it is smaller than the sum of its proper divisors (237793752672).

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

79574345760 is a wasteful number, since it uses less digits than its factorization.

79574345760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 57.

The spelling of 79574345760 in words is "seventy-nine billion, five hundred seventy-four million, three hundred forty-five thousand, seven hundred sixty".