5664556800 has 810 divisors, whose sum is σ = 24473204448. Its totient is φ = 1288949760.

The previous prime is 5664556687. The next prime is 5664556801. The reversal of 5664556800 is 86554665.

It is a happy number.

5664556800 is a `hidden beast` number, since 566 + 4 + 5 + 5 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (810).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5664556801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 25401489 + ... + 25401711.

Almost surely, 2^5664556800 is an apocalyptic number.

5664556800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5664556800 is the 37632-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5664556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12236602224).

5664556800 is an abundant number, since it is smaller than the sum of its proper divisors (18808647648).

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

5664556800 is a wasteful number, since it uses less digits than its factorization.

5664556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 5664556800 is about 75263.2499962631. The cubic root of 5664556800 is about 1782.6057866267.

The spelling of 5664556800 in words is "five billion, six hundred sixty-four million, five hundred fifty-six thousand, eight hundred".