5609490432 has 384 divisors, whose sum is σ = 18785894400. Its totient is φ = 1449197568.

The previous prime is 5609490407. The next prime is 5609490433. The reversal of 5609490432 is 2340949065.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5609490433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44169153 + ... + 44169279.

It is an arithmetic number, because the mean of its divisors is an integer number (48921600).

Almost surely, 2^5609490432 is an apocalyptic number.

5609490432 is a gapful number since it is divisible by the number (52) 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 5609490432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9392947200).

5609490432 is an abundant number, since it is smaller than the sum of its proper divisors (13176403968).

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

5609490432 is a wasteful number, since it uses less digits than its factorization.

5609490432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 5609490432 is about 74896.5315084751. The cubic root of 5609490432 is about 1776.8106031030.

The spelling of 5609490432 in words is "five billion, six hundred nine million, four hundred ninety thousand, four hundred thirty-two".