205074631840 has 72 divisors (see below), whose sum is σ = 524624055228. Its totient is φ = 75719854080.

The previous prime is 205074631837. The next prime is 205074631873. The reversal of 205074631840 is 48136470502.

It can be written as a sum of positive squares in 6 ways, for example, as 23192853264 + 181881778576 = 152292^2 + 426476^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 205074631793 and 205074631802.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3765021 + ... + 3819100.

Almost surely, 2^205074631840 is an apocalyptic number.

205074631840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205074631840 is an abundant number, since it is smaller than the sum of its proper divisors (319549423388).

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

205074631840 is a wasteful number, since it uses less digits than its factorization.

205074631840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7584162 (or 7584141 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 205074631840 in words is "two hundred five billion, seventy-four million, six hundred thirty-one thousand, eight hundred forty".