5566304000 has 144 divisors (see below), whose sum is σ = 14165214336. Its totient is φ = 2178560000.

The previous prime is 5566303997. The next prime is 5566304027. The reversal of 5566304000 is 4036655.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

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, 1502150 + ... + 1505850.

It is an arithmetic number, because the mean of its divisors is an integer number (98369544).

Almost surely, 2^5566304000 is an apocalyptic number.

5566304000 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 5566304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7082607168).

5566304000 is an abundant number, since it is smaller than the sum of its proper divisors (8598910336).

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

5566304000 is an equidigital number, since it uses as much as digits as its factorization.

5566304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3779 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 5566304000 is about 74607.6671663174. The cubic root of 5566304000 is about 1772.2390721468.

The spelling of 5566304000 in words is "five billion, five hundred sixty-six million, three hundred four thousand".