5609214208 has 72 divisors (see below), whose sum is σ = 12383946008. Its totient is φ = 2518843392.

The previous prime is 5609214197. The next prime is 5609214211. The reversal of 5609214208 is 8024129065.

It can be written as a sum of positive squares in 4 ways, for example, as 1641222144 + 3967992064 = 40512^2 + 62992^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

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 7 ways as a sum of consecutive naturals, for example, 100360 + ... + 145912.

Almost surely, 2^5609214208 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 5609214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191973004).

5609214208 is an abundant number, since it is smaller than the sum of its proper divisors (6774731800).

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

5609214208 is a wasteful number, since it uses less digits than its factorization.

5609214208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45619 (or 45605 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 5609214208 is about 74894.6874484432. The cubic root of 5609214208 is about 1776.7814378996.

The spelling of 5609214208 in words is "five billion, six hundred nine million, two hundred fourteen thousand, two hundred eight".