5625561344 has 144 divisors (see below), whose sum is σ = 13031726400. Its totient is φ = 2401394688.

The previous prime is 5625561203. The next prime is 5625561367. The reversal of 5625561344 is 4431655265.

It is a happy number.

Its product of digits (432000) is a multiple of the sum of its prime factors (2160).

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, 2717942 + ... + 2720010.

It is an arithmetic number, because the mean of its divisors is an integer number (90498100).

Almost surely, 2^5625561344 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 5625561344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6515863200).

5625561344 is an abundant number, since it is smaller than the sum of its proper divisors (7406165056).

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

5625561344 is a wasteful number, since it uses less digits than its factorization.

5625561344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2146 counting only the distinct ones).

The product of its digits is 432000, while the sum is 41.

The square root of 5625561344 is about 75003.7421999729. The cubic root of 5625561344 is about 1778.5058100021.

The spelling of 5625561344 in words is "five billion, six hundred twenty-five million, five hundred sixty-one thousand, three hundred forty-four".