204137635968 has 224 divisors, whose sum is σ = 696849932160. Its totient is φ = 58324852224.

The previous prime is 204137635943. The next prime is 204137635987. The reversal of 204137635968 is 869536731402.

204137635968 is a `hidden beast` number, since 2 + 0 + 41 + 3 + 7 + 6 + 3 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 496921 + ... + 809447.

It is a 2-persistent number, because it is pandigital, and so is 2⋅204137635968 = 408275271936, but 3⋅204137635968 = 612412907904 is not.

Almost surely, 2^204137635968 is an apocalyptic number.

204137635968 is a gapful number since it is divisible by the number (28) 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 204137635968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348424966080).

204137635968 is an abundant number, since it is smaller than the sum of its proper divisors (492712296192).

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

204137635968 is an frugal number, since it uses more digits than its factorization.

204137635968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312566 (or 312539 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 204137635968 in words is "two hundred four billion, one hundred thirty-seven million, six hundred thirty-five thousand, nine hundred sixty-eight".