204005708640 has 288 divisors, whose sum is σ = 743138323200. Its totient is φ = 50811909120.

The previous prime is 204005708611. The next prime is 204005708653. The reversal of 204005708640 is 46807500402.

204005708640 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 0 + 5 + 7 + 0 + 8 + 640 = 666.

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

It is a super-3 number, since 3×204005708640³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 204005708595 and 204005708604.

It is a congruent number.

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, 1890051 + ... + 1995069.

It is an arithmetic number, because the mean of its divisors is an integer number (2580341400).

Almost surely, 2^204005708640 is an apocalyptic number.

204005708640 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 204005708640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371569161600).

204005708640 is an abundant number, since it is smaller than the sum of its proper divisors (539132614560).

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

204005708640 is a wasteful number, since it uses less digits than its factorization.

204005708640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105130 (or 105119 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 204005708640 in words is "two hundred four billion, five million, seven hundred eight thousand, six hundred forty".