5664707281800 has 1152 divisors, whose sum is σ = 24266099370240. Its totient is φ = 1198573977600.

The previous prime is 5664707281763. The next prime is 5664707281819. The reversal of 5664707281800 is 81827074665.

5664707281800 is a `hidden beast` number, since 566 + 4 + 7 + 0 + 72 + 8 + 1 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×5664707281800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 352779372 + ... + 352795428.

It is an arithmetic number, because the mean of its divisors is an integer number (21064322370).

Almost surely, 2^{5664707281800} is an apocalyptic number.

5664707281800 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 5664707281800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12133049685120).

5664707281800 is an abundant number, since it is smaller than the sum of its proper divisors (18601392088440).

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

5664707281800 is a wasteful number, since it uses less digits than its factorization.

5664707281800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16173 (or 16152 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 5664707281800 in words is "five trillion, six hundred sixty-four billion, seven hundred seven million, two hundred eighty-one thousand, eight hundred".