204997087764 has 240 divisors, whose sum is σ = 631062432000. Its totient is φ = 57998711232.

The previous prime is 204997087759. The next prime is 204997087777. The reversal of 204997087764 is 467780799402.

204997087764 is a `hidden beast` number, since 2 + 0 + 499 + 7 + 0 + 87 + 7 + 64 = 666.

It is a super-2 number, since 2×204997087764² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11437642 + ... + 11455550.

It is an arithmetic number, because the mean of its divisors is an integer number (2629426800).

Almost surely, 2^204997087764 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 204997087764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315531216000).

204997087764 is an abundant number, since it is smaller than the sum of its proper divisors (426065344236).

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

204997087764 is a wasteful number, since it uses less digits than its factorization.

204997087764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18049 (or 18024 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 204997087764 in words is "two hundred four billion, nine hundred ninety-seven million, eighty-seven thousand, seven hundred sixty-four".