5664874320000 has 2880 divisors, whose sum is σ = 25949386663200. Its totient is φ = 1222760448000.

The previous prime is 5664874319999. The next prime is 5664874320011. The reversal of 5664874320000 is 234784665.

5664874320000 is a `hidden beast` number, since 566 + 4 + 87 + 4 + 3 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×5664874320000² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 18098639844 + ... + 18098640156.

Almost surely, 2^{5664874320000} is an apocalyptic number.

5664874320000 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 5664874320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12974693331600).

5664874320000 is an abundant number, since it is smaller than the sum of its proper divisors (20284512343200).

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

5664874320000 is an equidigital number, since it uses as much as digits as its factorization.

5664874320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 5664874320000 in words is "five trillion, six hundred sixty-four billion, eight hundred seventy-four million, three hundred twenty thousand".