79741573632 has 960 divisors, whose sum is σ = 295514419200. Its totient is φ = 20961607680.

The previous prime is 79741573619. The next prime is 79741573721. The reversal of 79741573632 is 23637514797.

79741573632 is a `hidden beast` number, since 7 + 9 + 7 + 4 + 1 + 573 + 63 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1009386969 + ... + 1009387047.

It is an arithmetic number, because the mean of its divisors is an integer number (307827520).

Almost surely, 2^79741573632 is an apocalyptic number.

79741573632 is a gapful number since it is divisible by the number (72) 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 79741573632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147757209600).

79741573632 is an abundant number, since it is smaller than the sum of its proper divisors (215772845568).

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

79741573632 is an equidigital number, since it uses as much as digits as its factorization.

79741573632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 171 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 54.

The spelling of 79741573632 in words is "seventy-nine billion, seven hundred forty-one million, five hundred seventy-three thousand, six hundred thirty-two".