58407965664 has 384 divisors, whose sum is σ = 173877580800. Its totient is φ = 17079828480.

The previous prime is 58407965657. The next prime is 58407965701. The reversal of 58407965664 is 46656970485.

58407965664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×58407965664² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 58407965598 and 58407965607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242356584 + ... + 242356824.

It is an arithmetic number, because the mean of its divisors is an integer number (452806200).

Almost surely, 2^58407965664 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 58407965664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86938790400).

58407965664 is an abundant number, since it is smaller than the sum of its proper divisors (115469615136).

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

58407965664 is a wasteful number, since it uses less digits than its factorization.

58407965664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 60.

The spelling of 58407965664 in words is "fifty-eight billion, four hundred seven million, nine hundred sixty-five thousand, six hundred sixty-four".