5564816000 has 64 divisors (see below), whose sum is σ = 13835563560. Its totient is φ = 2225920000.

The previous prime is 5564815999. The next prime is 5564816041. The reversal of 5564816000 is 6184655.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 381967936 + 5182848064 = 19544^2 + 71992^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×5564816000² = 61934354227712000000, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 157901 + ... + 189900.

Almost surely, 2^5564816000 is an apocalyptic number.

5564816000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5564816000 is an abundant number, since it is smaller than the sum of its proper divisors (8270747560).

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

5564816000 is an equidigital number, since it uses as much as digits as its factorization.

5564816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347830 (or 347808 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 5564816000 is about 74597.6943343425. The cubic root of 5564816000 is about 1772.0811380994.

The spelling of 5564816000 in words is "five billion, five hundred sixty-four million, eight hundred sixteen thousand".