5609642688 has 420 divisors, whose sum is σ = 19010208360. Its totient is φ = 1630347264.

The previous prime is 5609642683. The next prime is 5609642699. The reversal of 5609642688 is 8862469065.

It is a happy number.

5609642688 is a `hidden beast` number, since 5 + 609 + 6 + 4 + 26 + 8 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5609642683) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16645656 + ... + 16645992.

Almost surely, 2^5609642688 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 5609642688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9505104180).

5609642688 is an abundant number, since it is smaller than the sum of its proper divisors (13400565672).

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

5609642688 is a wasteful number, since it uses less digits than its factorization.

5609642688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 5609642688 is about 74897.5479438413. The cubic root of 5609642688 is about 1776.8266786944.

The spelling of 5609642688 in words is "five billion, six hundred nine million, six hundred forty-two thousand, six hundred eighty-eight".