204979376952 has 320 divisors, whose sum is σ = 696304857600. Its totient is φ = 55068076800.

The previous prime is 204979376947. The next prime is 204979376971. The reversal of 204979376952 is 259673979402.

204979376952 is a `hidden beast` number, since 2 + 0 + 497 + 9 + 37 + 69 + 52 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 204979376952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6138702 + ... + 6172002.

It is an arithmetic number, because the mean of its divisors is an integer number (2175952680).

Almost surely, 2^204979376952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204979376952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348152428800).

204979376952 is an abundant number, since it is smaller than the sum of its proper divisors (491325480648).

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

204979376952 is a wasteful number, since it uses less digits than its factorization.

204979376952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33408 (or 33395 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 204979376952 in words is "two hundred four billion, nine hundred seventy-nine million, three hundred seventy-six thousand, nine hundred fifty-two".