204104078640 has 1680 divisors, whose sum is σ = 930005404416. Its totient is φ = 41150592000.

The previous prime is 204104078611. The next prime is 204104078657. The reversal of 204104078640 is 46870401402.

204104078640 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 0 + 4 + 0 + 7 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 = 204104078595 and 204104078604.

It is a congruent number.

It is an unprimeable number.

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 335 ways as a sum of consecutive naturals, for example, 1351682565 + ... + 1351682715.

Almost surely, 2^204104078640 is an apocalyptic number.

204104078640 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 204104078640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465002702208).

204104078640 is an abundant number, since it is smaller than the sum of its proper divisors (725901325776).

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

204104078640 is a wasteful number, since it uses less digits than its factorization.

204104078640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 204104078640 in words is "two hundred four billion, one hundred four million, seventy-eight thousand, six hundred forty".