204264374160 has 640 divisors, whose sum is σ = 820747468800. Its totient is φ = 40782643200.

The previous prime is 204264374147. The next prime is 204264374213. The reversal of 204264374160 is 61473462402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85357924 + ... + 85360316.

It is an arithmetic number, because the mean of its divisors is an integer number (1282417920).

Almost surely, 2^204264374160 is an apocalyptic number.

204264374160 is a gapful number since it is divisible by the number (20) 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 204264374160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410373734400).

204264374160 is an abundant number, since it is smaller than the sum of its proper divisors (616483094640).

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

204264374160 is a wasteful number, since it uses less digits than its factorization.

204264374160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 204264374160 in words is "two hundred four billion, two hundred sixty-four million, three hundred seventy-four thousand, one hundred sixty".