5664756411648 has 288 divisors, whose sum is σ = 17215353550080. Its totient is φ = 1836282839040.

The previous prime is 5664756411617. The next prime is 5664756411697. The reversal of 5664756411648 is 8461146574665.

5664756411648 is a `hidden beast` number, since 5 + 6 + 6 + 4 + 7 + 564 + 1 + 1 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88669765 + ... + 88733627.

It is an arithmetic number, because the mean of its divisors is an integer number (59775533160).

Almost surely, 2^{5664756411648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5664756411648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8607676775040).

5664756411648 is an abundant number, since it is smaller than the sum of its proper divisors (11550597138432).

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

5664756411648 is a wasteful number, since it uses less digits than its factorization.

5664756411648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64242 (or 64222 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 5664756411648 in words is "five trillion, six hundred sixty-four billion, seven hundred fifty-six million, four hundred eleven thousand, six hundred forty-eight".