658379860992 has 1056 divisors, whose sum is σ = 2369085788160. Its totient is φ = 178681282560.

The previous prime is 658379860969. The next prime is 658379860993. The reversal of 658379860992 is 299068973856.

658379860992 is a `hidden beast` number, since 6 + 5 + 8 + 3 + 7 + 9 + 8 + 609 + 9 + 2 = 666.

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 658379860992.

It is not an unprimeable number, because it can be changed into a prime (658379860993) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4805692348 + ... + 4805692484.

Almost surely, 2^658379860992 is an apocalyptic number.

658379860992 is a gapful number since it is divisible by the number (62) 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 658379860992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184542894080).

658379860992 is an abundant number, since it is smaller than the sum of its proper divisors (1710705927168).

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

658379860992 is a wasteful number, since it uses less digits than its factorization.

658379860992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 658379860992 in words is "six hundred fifty-eight billion, three hundred seventy-nine million, eight hundred sixty thousand, nine hundred ninety-two".