5564832000 has 864 divisors, whose sum is σ = 23340844800. Its totient is φ = 1174118400.

The previous prime is 5564831963. The next prime is 5564832001. The reversal of 5564832000 is 2384655.

It is not an unprimeable number, because it can be changed into a prime (5564832001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 428063994 + ... + 428064006.

Almost surely, 2^5564832000 is an apocalyptic number.

5564832000 is a gapful number since it is divisible by the number (50) 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 5564832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11670422400).

5564832000 is an abundant number, since it is smaller than the sum of its proper divisors (17776012800).

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

5564832000 is an equidigital number, since it uses as much as digits as its factorization.

5564832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 5564832000 is about 74597.8015761859. The cubic root of 5564832000 is about 1772.0828364647.

The spelling of 5564832000 in words is "five billion, five hundred sixty-four million, eight hundred thirty-two thousand".