58769979624 has 112 divisors (see below), whose sum is σ = 165357281220. Its totient is φ = 19573125120.

The previous prime is 58769979601. The next prime is 58769979641. The reversal of 58769979624 is 42697996785.

It can be written as a sum of positive squares in 2 ways, for example, as 58134032100 + 635947524 = 241110^2 + 25218^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8050344 + ... + 8057640.

Almost surely, 2^58769979624 is an apocalyptic number.

58769979624 is a gapful number since it is divisible by the number (54) 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 58769979624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82678640610).

58769979624 is an abundant number, since it is smaller than the sum of its proper divisors (106587301596).

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

58769979624 is a wasteful number, since it uses less digits than its factorization.

58769979624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8702 (or 8683 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 72.

The spelling of 58769979624 in words is "fifty-eight billion, seven hundred sixty-nine million, nine hundred seventy-nine thousand, six hundred twenty-four".