204192942660 has 384 divisors, whose sum is σ = 749099581440. Its totient is φ = 45200706048.

The previous prime is 204192942659. The next prime is 204192942719. The reversal of 204192942660 is 66249291402.

204192942660 is a `hidden beast` number, since 204 + 19 + 2 + 9 + 426 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31185507 + ... + 31192053.

It is an arithmetic number, because the mean of its divisors is an integer number (1950780160).

Almost surely, 2^204192942660 is an apocalyptic number.

204192942660 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 204192942660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374549790720).

204192942660 is an abundant number, since it is smaller than the sum of its proper divisors (544906638780).

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

204192942660 is a wasteful number, since it uses less digits than its factorization.

204192942660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6832 (or 6824 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 204192942660 in words is "two hundred four billion, one hundred ninety-two million, nine hundred forty-two thousand, six hundred sixty".