5664464007552 has 1152 divisors, whose sum is σ = 20497217832000. Its totient is φ = 1468873211904.

The previous prime is 5664464007547. The next prime is 5664464007563. The reversal of 5664464007552 is 2557004644665.

5664464007552 is a `hidden beast` number, since 5 + 6 + 6 + 4 + 46 + 40 + 0 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19332641518 + ... + 19332641810.

Almost surely, 2^{5664464007552} 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 5664464007552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10248608916000).

5664464007552 is an abundant number, since it is smaller than the sum of its proper divisors (14832753824448).

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

5664464007552 is a wasteful number, since it uses less digits than its factorization.

5664464007552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 54.

The spelling of 5664464007552 in words is "five trillion, six hundred sixty-four billion, four hundred sixty-four million, seven thousand, five hundred fifty-two".