8400744561 has 24 divisors (see below), whose sum is σ = 12326248480. Its totient is φ = 5085400320.

The previous prime is 8400744557. The next prime is 8400744593. The reversal of 8400744561 is 1654470048.

It is not a de Polignac number, because 8400744561 - 2² = 8400744557 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8400744761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307425 + ... + 333633.

Almost surely, 2^8400744561 is an apocalyptic number.

It is an amenable number.

8400744561 is a deficient number, since it is larger than the sum of its proper divisors (3925503919).

8400744561 is a wasteful number, since it uses less digits than its factorization.

8400744561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27117 (or 27106 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 8400744561 is about 91655.5757223749. The cubic root of 8400744561 is about 2032.8527728939.

The spelling of 8400744561 in words is "eight billion, four hundred million, seven hundred forty-four thousand, five hundred sixty-one".