8644169664 has 280 divisors, whose sum is σ = 28553115360. Its totient is φ = 2567448576.

The previous prime is 8644169621. The next prime is 8644169671. The reversal of 8644169664 is 4669614468.

It is a happy number.

8644169664 is a `hidden beast` number, since 86 + 4 + 416 + 96 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8644169664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1952157 + ... + 1956579.

It is an arithmetic number, because the mean of its divisors is an integer number (101975412).

Almost surely, 2^8644169664 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 8644169664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14276557680).

8644169664 is an abundant number, since it is smaller than the sum of its proper divisors (19908945696).

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

8644169664 is a wasteful number, since it uses less digits than its factorization.

8644169664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489 (or 4470 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 8644169664 is about 92974.0268246998. The cubic root of 8644169664 is about 2052.3011766819.

The spelling of 8644169664 in words is "eight billion, six hundred forty-four million, one hundred sixty-nine thousand, six hundred sixty-four".