8673663768 has 128 divisors (see below), whose sum is σ = 28210360320. Its totient is φ = 2154936960.

The previous prime is 8673663751. The next prime is 8673663787.

8673663768 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59530 + ... + 144537.

It is an arithmetic number, because the mean of its divisors is an integer number (220393440).

Almost surely, 2^8673663768 is an apocalyptic number.

8673663768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8673663768 is an abundant number, since it is smaller than the sum of its proper divisors (19536696552).

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

8673663768 is a wasteful number, since it uses less digits than its factorization.

8673663768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204117 (or 204113 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 60.

The square root of 8673663768 is about 93132.5065055161. The cubic root of 8673663768 is about 2054.6326930974.

The spelling of 8673663768 in words is "eight billion, six hundred seventy-three million, six hundred sixty-three thousand, seven hundred sixty-eight".