8676982896768 has 192 divisors, whose sum is σ = 25665954163200. Its totient is φ = 2811720812544.

The previous prime is 8676982896721. The next prime is 8676982896787.

8676982896768 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49484193 + ... + 49659231.

It is an arithmetic number, because the mean of its divisors is an integer number (133676844600).

Almost surely, 2^{8676982896768} 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 8676982896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12832977081600).

8676982896768 is an abundant number, since it is smaller than the sum of its proper divisors (16988971266432).

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

8676982896768 is a wasteful number, since it uses less digits than its factorization.

8676982896768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176259 (or 176244 counting only the distinct ones).

The product of its digits is 42138206208, while the sum is 90.

The spelling of 8676982896768 in words is "eight trillion, six hundred seventy-six billion, nine hundred eighty-two million, eight hundred ninety-six thousand, seven hundred sixty-eight".