368538992640 has 960 divisors, whose sum is σ = 1613583390720. Its totient is φ = 77715210240.

The previous prime is 368538992561. The next prime is 368538992659. The reversal of 368538992640 is 46299835863.

368538992640 is a `hidden beast` number, since 3 + 6 + 8 + 538 + 9 + 92 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×368538992640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 201276525 + ... + 201278355.

It is an arithmetic number, because the mean of its divisors is an integer number (1680816032).

Almost surely, 2^368538992640 is an apocalyptic number.

368538992640 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 368538992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806791695360).

368538992640 is an abundant number, since it is smaller than the sum of its proper divisors (1245044398080).

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

368538992640 is a wasteful number, since it uses less digits than its factorization.

368538992640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 368538992640 in words is "three hundred sixty-eight billion, five hundred thirty-eight million, nine hundred ninety-two thousand, six hundred forty".