8677117768 has 16 divisors (see below), whose sum is σ = 17748650160. Its totient is φ = 3944144400.

The previous prime is 8677117739. The next prime is 8677117777.

8677117768 is nontrivially palindromic in base 10.

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 3 ways as a sum of consecutive naturals, for example, 49301718 + ... + 49301893.

It is an arithmetic number, because the mean of its divisors is an integer number (1109290635).

Almost surely, 2^8677117768 is an apocalyptic number.

8677117768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8677117768 is an abundant number, since it is smaller than the sum of its proper divisors (9071532392).

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

8677117768 is a wasteful number, since it uses less digits than its factorization.

8677117768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98603628 (or 98603624 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 58.

The square root of 8677117768 is about 93151.0481315159. The cubic root of 8677117768 is about 2054.9053867637.

The spelling of 8677117768 in words is "eight billion, six hundred seventy-seven million, one hundred seventeen thousand, seven hundred sixty-eight".