204977785680 has 320 divisors, whose sum is σ = 715955604480. Its totient is φ = 53897550336.

The previous prime is 204977785679. The next prime is 204977785699. The reversal of 204977785680 is 86587779402.

204977785680 is a `hidden beast` number, since 2 + 0 + 497 + 7 + 7 + 85 + 68 + 0 = 666.

204977785680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52462287 + ... + 52466193.

It is an arithmetic number, because the mean of its divisors is an integer number (2237361264).

Almost surely, 2^204977785680 is an apocalyptic number.

204977785680 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 204977785680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357977802240).

204977785680 is an abundant number, since it is smaller than the sum of its proper divisors (510977818800).

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

204977785680 is a wasteful number, since it uses less digits than its factorization.

204977785680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4263 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 204977785680 in words is "two hundred four billion, nine hundred seventy-seven million, seven hundred eighty-five thousand, six hundred eighty".