204642590208 has 960 divisors, whose sum is σ = 710972494848. Its totient is φ = 51912376320.

The previous prime is 204642590177. The next prime is 204642590209. The reversal of 204642590208 is 802095246402.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 204642590208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204642590209) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2465573335 + ... + 2465573417.

Almost surely, 2^204642590208 is an apocalyptic number.

204642590208 is a gapful number since it is divisible by the number (28) 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 204642590208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355486247424).

204642590208 is an abundant number, since it is smaller than the sum of its proper divisors (506329904640).

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

204642590208 is a wasteful number, since it uses less digits than its factorization.

204642590208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 204642590208 in words is "two hundred four billion, six hundred forty-two million, five hundred ninety thousand, two hundred eight".