204684226560 has 624 divisors, whose sum is σ = 802864782720. Its totient is φ = 49607147520.

The previous prime is 204684226469. The next prime is 204684226613. The reversal of 204684226560 is 65622486402.

204684226560 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 84 + 2 + 2 + 6 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54741171 + ... + 54744909.

It is an arithmetic number, because the mean of its divisors is an integer number (1286642280).

Almost surely, 2^204684226560 is an apocalyptic number.

204684226560 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 204684226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401432391360).

204684226560 is an abundant number, since it is smaller than the sum of its proper divisors (598180556160).

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

204684226560 is an equidigital number, since it uses as much as digits as its factorization.

204684226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3794 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 204684226560 in words is "two hundred four billion, six hundred eighty-four million, two hundred twenty-six thousand, five hundred sixty".