58800314664 has 512 divisors, whose sum is σ = 209104896000. Its totient is φ = 14981241600.

The previous prime is 58800314627. The next prime is 58800314669. The reversal of 58800314664 is 46641300885.

58800314664 is a `hidden beast` number, since 588 + 0 + 0 + 3 + 1 + 4 + 6 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58800314669) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102977499 + ... + 102978069.

It is an arithmetic number, because the mean of its divisors is an integer number (408408000).

Almost surely, 2^58800314664 is an apocalyptic number.

58800314664 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 58800314664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104552448000).

58800314664 is an abundant number, since it is smaller than the sum of its proper divisors (150304581336).

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

58800314664 is a wasteful number, since it uses less digits than its factorization.

58800314664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 58800314664 in words is "fifty-eight billion, eight hundred million, three hundred fourteen thousand, six hundred sixty-four".