5609237760 has 648 divisors, whose sum is σ = 23809574880. Its totient is φ = 1212309504.

The previous prime is 5609237749. The next prime is 5609237791. The reversal of 5609237760 is 677329065.

5609237760 = 7637² + 7638² + ... + 7731².

5609237760 is a `hidden beast` number, since 5 + 609 + 2 + 37 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10724859 + ... + 10725381.

Almost surely, 2^5609237760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5609237760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11904787440).

5609237760 is an abundant number, since it is smaller than the sum of its proper divisors (18200337120).

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

5609237760 is a wasteful number, since it uses less digits than its factorization.

5609237760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 5609237760 is about 74894.8446823945. The cubic root of 5609237760 is about 1776.7839246827.

The spelling of 5609237760 in words is "five billion, six hundred nine million, two hundred thirty-seven thousand, seven hundred sixty".