204651166720 has 704 divisors, whose sum is σ = 669392188416. Its totient is φ = 57967902720.

The previous prime is 204651166673. The next prime is 204651166781. The reversal of 204651166720 is 27661156402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (40).

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 63 ways as a sum of consecutive naturals, for example, 374133487 + ... + 374134033.

Almost surely, 2^204651166720 is an apocalyptic number.

204651166720 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 204651166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334696094208).

204651166720 is an abundant number, since it is smaller than the sum of its proper divisors (464741021696).

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

204651166720 is a wasteful number, since it uses less digits than its factorization.

204651166720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 204651166720 in words is "two hundred four billion, six hundred fifty-one million, one hundred sixty-six thousand, seven hundred twenty".