8687692416 has 192 divisors, whose sum is σ = 25423092000. Its totient is φ = 2626670592.

The previous prime is 8687692339. The next prime is 8687692423. The reversal of 8687692416 is 6142967868.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 3827730 + ... + 3829998.

Almost surely, 2^8687692416 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 8687692416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12711546000).

8687692416 is an abundant number, since it is smaller than the sum of its proper divisors (16735399584).

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

8687692416 is a wasteful number, since it uses less digits than its factorization.

8687692416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2346 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 57.

The square root of 8687692416 is about 93207.7916056378. The cubic root of 8687692416 is about 2055.7398066871.

The spelling of 8687692416 in words is "eight billion, six hundred eighty-seven million, six hundred ninety-two thousand, four hundred sixteen".