58645688640 has 448 divisors, whose sum is σ = 233880403968. Its totient is φ = 12095078400.

The previous prime is 58645688639. The next prime is 58645688671. The reversal of 58645688640 is 4688654685.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 10124145 + ... + 10129935.

Almost surely, 2^58645688640 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 58645688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116940201984).

58645688640 is an abundant number, since it is smaller than the sum of its proper divisors (175234715328).

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

58645688640 is a wasteful number, since it uses less digits than its factorization.

58645688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5966 (or 5956 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 60.

The spelling of 58645688640 in words is "fifty-eight billion, six hundred forty-five million, six hundred eighty-eight thousand, six hundred forty".