368942745600 has 1296 divisors, whose sum is σ = 1567143641700. Its totient is φ = 82398412800.

The previous prime is 368942745547. The next prime is 368942745719. The reversal of 368942745600 is 6547249863.

368942745600 is a `hidden beast` number, since 3 + 6 + 8 + 9 + 4 + 2 + 74 + 560 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 123656315904 + 245286429696 = 351648^2 + 495264^2 .

It is a super-2 number, since 2×368942745600² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 724838146 + ... + 724838654.

Almost surely, 2^368942745600 is an apocalyptic number.

368942745600 is a gapful number since it is divisible by the number (30) 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 368942745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783571820850).

368942745600 is an abundant number, since it is smaller than the sum of its proper divisors (1198200896100).

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

368942745600 is a wasteful number, since it uses less digits than its factorization.

368942745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 368942745600 in words is "three hundred sixty-eight billion, nine hundred forty-two million, seven hundred forty-five thousand, six hundred".