561617084736 has 140 divisors (see below), whose sum is σ = 1709804399028. Its totient is φ = 182146019328.

The previous prime is 561617084731. The next prime is 561617084767. The reversal of 561617084736 is 637480716165.

561617084736 is a `hidden beast` number, since 5 + 6 + 161 + 7 + 0 + 8 + 473 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 420090644736 + 141526440000 = 648144^2 + 376200^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561617084731) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1272201 + ... + 1655816.

Almost surely, 2^561617084736 is an apocalyptic number.

It is an amenable number.

561617084736 is an abundant number, since it is smaller than the sum of its proper divisors (1148187314292).

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

561617084736 is a wasteful number, since it uses less digits than its factorization.

561617084736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928078 (or 2928059 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 561617084736 in words is "five hundred sixty-one billion, six hundred seventeen million, eighty-four thousand, seven hundred thirty-six".