8806601664 has 448 divisors, whose sum is σ = 31689446400. Its totient is φ = 2341011456.

The previous prime is 8806601611. The next prime is 8806601701. The reversal of 8806601664 is 4661066088.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23236227 + ... + 23236605.

Almost surely, 2^8806601664 is an apocalyptic number.

8806601664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8806601664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15844723200).

8806601664 is an abundant number, since it is smaller than the sum of its proper divisors (22882844736).

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

8806601664 is a wasteful number, since it uses less digits than its factorization.

8806601664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8806601664 is about 93843.4955870677. The cubic root of 8806601664 is about 2065.0763720540.

The spelling of 8806601664 in words is "eight billion, eight hundred six million, six hundred one thousand, six hundred sixty-four".