5609410816 has 81 divisors (see below), whose sum is σ = 11646880119. Its totient is φ = 2696256000.

The previous prime is 5609410801. The next prime is 5609410817. The reversal of 5609410816 is 6180149065.

The square root of 5609410816 is 74896.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5609410817) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37148341 + ... + 37148491.

Almost surely, 2^5609410816 is an apocalyptic number.

5609410816 is the 74896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5609410816

5609410816 is an abundant number, since it is smaller than the sum of its proper divisors (6037469303).

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

5609410816 is an frugal number, since it uses more digits than its factorization.

5609410816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The cubic root of 5609410816 is about 1776.8021969192.

The spelling of 5609410816 in words is "five billion, six hundred nine million, four hundred ten thousand, eight hundred sixteen".