8835005664 has 144 divisors (see below), whose sum is σ = 26662027392. Its totient is φ = 2876404608.

The previous prime is 8835005659. The next prime is 8835005677. The reversal of 8835005664 is 4665005388.

8835005664 is a `hidden beast` number, since 8 + 83 + 5 + 0 + 0 + 566 + 4 = 666.

8835005664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321157 + ... + 347579.

It is an arithmetic number, because the mean of its divisors is an integer number (185152968).

Almost surely, 2^8835005664 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 8835005664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13331013696).

8835005664 is an abundant number, since it is smaller than the sum of its proper divisors (17827021728).

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

8835005664 is a wasteful number, since it uses less digits than its factorization.

8835005664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26491 (or 26471 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 8835005664 is about 93994.7108299185. The cubic root of 8835005664 is about 2067.2941583082.

The spelling of 8835005664 in words is "eight billion, eight hundred thirty-five million, five thousand, six hundred sixty-four".