610405561600 has 54 divisors (see below), whose sum is σ = 1510849156670. Its totient is φ = 244162222080.

The previous prime is 610405561561. The next prime is 610405561663. The reversal of 610405561600 is 6165504016.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 80910664704 + 529494896896 = 284448^2 + 727664^2 .

It is a super-2 number, since 2×610405561600² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47681535 + ... + 47694334.

Almost surely, 2^610405561600 is an apocalyptic number.

It is an amenable number.

610405561600 is an abundant number, since it is smaller than the sum of its proper divisors (900443595070).

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

610405561600 is an equidigital number, since it uses as much as digits as its factorization.

610405561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95375895 (or 95375876 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 610405561600 in words is "six hundred ten billion, four hundred five million, five hundred sixty-one thousand, six hundred".