5609349120 has 224 divisors, whose sum is σ = 18118287360. Its totient is φ = 1481768960.

The previous prime is 5609349071. The next prime is 5609349149. The reversal of 5609349120 is 219439065.

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 15 ways as a sum of consecutive naturals, for example, 23469961 + ... + 23470199.

Almost surely, 2^5609349120 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 5609349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9059143680).

5609349120 is an abundant number, since it is smaller than the sum of its proper divisors (12508938240).

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

5609349120 is a wasteful number, since it uses less digits than its factorization.

5609349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 5609349120 is about 74895.5881210636. The cubic root of 5609349120 is about 1776.7956827479.

The spelling of 5609349120 in words is "five billion, six hundred nine million, three hundred forty-nine thousand, one hundred twenty".