204974688672 has 480 divisors, whose sum is σ = 661591022400. Its totient is φ = 61878546432.

The previous prime is 204974688647. The next prime is 204974688713. The reversal of 204974688672 is 276886479402.

204974688672 is a `hidden beast` number, since 2 + 0 + 4 + 97 + 468 + 86 + 7 + 2 = 666.

204974688672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×204974688672³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 501160404 + ... + 501160812.

It is an arithmetic number, because the mean of its divisors is an integer number (1378314630).

Almost surely, 2^204974688672 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 204974688672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330795511200).

204974688672 is an abundant number, since it is smaller than the sum of its proper divisors (456616333728).

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

204974688672 is a wasteful number, since it uses less digits than its factorization.

204974688672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 204974688672 in words is "two hundred four billion, nine hundred seventy-four million, six hundred eighty-eight thousand, six hundred seventy-two".