204649334395776 has 768 divisors, whose sum is σ = 637696746086400. Its totient is φ = 62765551779840.

The previous prime is 204649334395747. The next prime is 204649334395841. The reversal of 204649334395776 is 677593433946402.

204649334395776 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 4 + 9 + 3 + 3 + 43 + 9 + 577 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67967230111 + ... + 67967233121.

It is an arithmetic number, because the mean of its divisors is an integer number (830334304800).

Almost surely, 2^{204649334395776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204649334395776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318848373043200).

204649334395776 is an abundant number, since it is smaller than the sum of its proper divisors (433047411690624).

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

204649334395776 is a wasteful number, since it uses less digits than its factorization.

204649334395776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3547 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 2469035520, while the sum is 72.

The spelling of 204649334395776 in words is "two hundred four trillion, six hundred forty-nine billion, three hundred thirty-four million, three hundred ninety-five thousand, seven hundred seventy-six".