204736331680 has 48 divisors (see below), whose sum is σ = 483823950120. Its totient is φ = 81871782912.

The previous prime is 204736331671. The next prime is 204736331689. The reversal of 204736331680 is 86133637402.

It is an interprime number because it is at equal distance from previous prime (204736331671) and next prime (204736331689).

It can be written as a sum of positive squares in 4 ways, for example, as 149264777104 + 55471554576 = 386348^2 + 235524^2 .

It is not an unprimeable number, because it can be changed into a prime (204736331689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 406006 + ... + 757834.

Almost surely, 2^204736331680 is an apocalyptic number.

204736331680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204736331680 is an abundant number, since it is smaller than the sum of its proper divisors (279087618440).

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

204736331680 is a wasteful number, since it uses less digits than its factorization.

204736331680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355481 (or 355473 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The spelling of 204736331680 in words is "two hundred four billion, seven hundred thirty-six million, three hundred thirty-one thousand, six hundred eighty".