8967666816 has 160 divisors (see below), whose sum is σ = 28092860400. Its totient is φ = 2831832576.

The previous prime is 8967666809. The next prime is 8967666847. The reversal of 8967666816 is 6186667698.

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 19 ways as a sum of consecutive naturals, for example, 174231 + ... + 219753.

Almost surely, 2^8967666816 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 8967666816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14046430200).

8967666816 is an abundant number, since it is smaller than the sum of its proper divisors (19125193584).

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

8967666816 is a wasteful number, since it uses less digits than its factorization.

8967666816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45568 (or 45547 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The square root of 8967666816 is about 94697.7656336199. The cubic root of 8967666816 is about 2077.5898810310.

The spelling of 8967666816 in words is "eight billion, nine hundred sixty-seven million, six hundred sixty-six thousand, eight hundred sixteen".