8973667416 has 128 divisors (see below), whose sum is σ = 25954790400. Its totient is φ = 2532487680.

The previous prime is 8973667357. The next prime is 8973667429. The reversal of 8973667416 is 6147663798.

8973667416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 8441301 + ... + 8442363.

It is an arithmetic number, because the mean of its divisors is an integer number (202771800).

Almost surely, 2^8973667416 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 8973667416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12977395200).

8973667416 is an abundant number, since it is smaller than the sum of its proper divisors (16981122984).

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

8973667416 is a wasteful number, since it uses less digits than its factorization.

8973667416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1645 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 57.

The square root of 8973667416 is about 94729.4432370422. The cubic root of 8973667416 is about 2078.0531753105.

The spelling of 8973667416 in words is "eight billion, nine hundred seventy-three million, six hundred sixty-seven thousand, four hundred sixteen".