2644164476928 has 912 divisors, whose sum is σ = 8891639085056. Its totient is φ = 779700142080.

The previous prime is 2644164476881. The next prime is 2644164476957. The reversal of 2644164476928 is 8296744614462.

2644164476928 is a `hidden beast` number, since 2 + 6 + 441 + 64 + 47 + 6 + 92 + 8 = 666.

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 47 ways as a sum of consecutive naturals, for example, 25671499725 + ... + 25671499827.

Almost surely, 2^{2644164476928} 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 2644164476928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445819542528).

2644164476928 is an abundant number, since it is smaller than the sum of its proper divisors (6247474608128).

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

2644164476928 is an frugal number, since it uses more digits than its factorization.

2644164476928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 152 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 63.

The spelling of 2644164476928 in words is "two trillion, six hundred forty-four billion, one hundred sixty-four million, four hundred seventy-six thousand, nine hundred twenty-eight".