5609569680 has 720 divisors, whose sum is σ = 23178516480. Its totient is φ = 1245404160.

The previous prime is 5609569663. The next prime is 5609569723. The reversal of 5609569680 is 869659065.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 44169777 + ... + 44169903.

It is an arithmetic number, because the mean of its divisors is an integer number (32192384).

Almost surely, 2^5609569680 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 5609569680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11589258240).

5609569680 is an abundant number, since it is smaller than the sum of its proper divisors (17568946800).

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

5609569680 is a wasteful number, since it uses less digits than its factorization.

5609569680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The square root of 5609569680 is about 74897.0605564731. The cubic root of 5609569680 is about 1776.8189703528.

The spelling of 5609569680 in words is "five billion, six hundred nine million, five hundred sixty-nine thousand, six hundred eighty".