8677632367768 has 64 divisors (see below), whose sum is σ = 20895970959360. Its totient is φ = 3283652566656.

The previous prime is 8677632367763. The next prime is 8677632367793.

It is a happy number.

8677632367768 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8677632367694 and 8677632367703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8677632367763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259109880 + ... + 259143367.

It is an arithmetic number, because the mean of its divisors is an integer number (326499546240).

Almost surely, 2^{8677632367768} is an apocalyptic number.

It is an amenable number.

8677632367768 is an abundant number, since it is smaller than the sum of its proper divisors (12218338591592).

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

8677632367768 is a wasteful number, since it uses less digits than its factorization.

8677632367768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518253296 (or 518253292 counting only the distinct ones).

The product of its digits is 3584673792, while the sum is 76.

The spelling of 8677632367768 in words is "eight trillion, six hundred seventy-seven billion, six hundred thirty-two million, three hundred sixty-seven thousand, seven hundred sixty-eight".