5609434464 has 96 divisors (see below), whose sum is σ = 16585158240. Its totient is φ = 1844176896.

The previous prime is 5609434459. The next prime is 5609434489. The reversal of 5609434464 is 4644349065.

5609434464 is a `hidden beast` number, since 5 + 609 + 4 + 34 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18604 + ... + 107540.

It is an arithmetic number, because the mean of its divisors is an integer number (172762065).

Almost surely, 2^5609434464 is an apocalyptic number.

5609434464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5609434464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8292579120).

5609434464 is an abundant number, since it is smaller than the sum of its proper divisors (10975723776).

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

5609434464 is a wasteful number, since it uses less digits than its factorization.

5609434464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89029 (or 89015 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The square root of 5609434464 is about 74896.1578720831. The cubic root of 5609434464 is about 1776.8046937804.

The spelling of 5609434464 in words is "five billion, six hundred nine million, four hundred thirty-four thousand, four hundred sixty-four".