204873772320 has 288 divisors, whose sum is σ = 799400085120. Its totient is φ = 46805299200.

The previous prime is 204873772303. The next prime is 204873772333. The reversal of 204873772320 is 23277378402.

204873772320 is a `hidden beast` number, since 2 + 0 + 48 + 7 + 377 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28734516 + ... + 28741644.

It is an arithmetic number, because the mean of its divisors is an integer number (2775694740).

Almost surely, 2^204873772320 is an apocalyptic number.

204873772320 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 204873772320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399700042560).

204873772320 is an abundant number, since it is smaller than the sum of its proper divisors (594526312800).

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

204873772320 is a wasteful number, since it uses less digits than its factorization.

204873772320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10008 (or 9997 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 204873772320 in words is "two hundred four billion, eight hundred seventy-three million, seven hundred seventy-two thousand, three hundred twenty".