204642749203680 has 768 divisors, whose sum is σ = 686136740889600. Its totient is φ = 51125935472640.

The previous prime is 204642749203621. The next prime is 204642749203693. The reversal of 204642749203680 is 86302947246402.

204642749203680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 204642749203680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 310535279191 + ... + 310535279849.

It is an arithmetic number, because the mean of its divisors is an integer number (893407214700).

Almost surely, 2^{204642749203680} is an apocalyptic number.

204642749203680 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 204642749203680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343068370444800).

204642749203680 is an abundant number, since it is smaller than the sum of its proper divisors (481493991685920).

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

204642749203680 is a wasteful number, since it uses less digits than its factorization.

204642749203680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 57.

The spelling of 204642749203680 in words is "two hundred four trillion, six hundred forty-two billion, seven hundred forty-nine million, two hundred three thousand, six hundred eighty".