8880673664 has 64 divisors (see below), whose sum is σ = 18302716800. Its totient is φ = 4287682560.

The previous prime is 8880673661. The next prime is 8880673667. The reversal of 8880673664 is 4663760888.

It is an interprime number because it is at equal distance from previous prime (8880673661) and next prime (8880673667).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8880673661) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2017514 + ... + 2021910.

It is an arithmetic number, because the mean of its divisors is an integer number (285979950).

Almost surely, 2^8880673664 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 8880673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9151358400).

8880673664 is an abundant number, since it is smaller than the sum of its proper divisors (9422043136).

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

8880673664 is a wasteful number, since it uses less digits than its factorization.

8880673664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4951 (or 4939 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 56.

The square root of 8880673664 is about 94237.3262778608. The cubic root of 8880673664 is about 2070.8499752559.

The spelling of 8880673664 in words is "eight billion, eight hundred eighty million, six hundred seventy-three thousand, six hundred sixty-four".