8800445664 has 192 divisors, whose sum is σ = 26949888000. Its totient is φ = 2790236160.

The previous prime is 8800445659. The next prime is 8800445699. The reversal of 8800445664 is 4665440088.

8800445664 is a `hidden beast` number, since 8 + 80 + 0 + 4 + 4 + 566 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1577472 + ... + 1583040.

It is an arithmetic number, because the mean of its divisors is an integer number (140364000).

Almost surely, 2^8800445664 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 8800445664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13474944000).

8800445664 is an abundant number, since it is smaller than the sum of its proper divisors (18149442336).

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

8800445664 is a wasteful number, since it uses less digits than its factorization.

8800445664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5678 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 8800445664 is about 93810.6905634960. The cubic root of 8800445664 is about 2064.5950826036.

The spelling of 8800445664 in words is "eight billion, eight hundred million, four hundred forty-five thousand, six hundred sixty-four".