8644768674468 has 192 divisors, whose sum is σ = 22147294740480. Its totient is φ = 2614228992000.

The previous prime is 8644768674467. The next prime is 8644768674473.

8644768674468 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8644768674393 and 8644768674402.

It is not an unprimeable number, because it can be changed into a prime (8644768674467) 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 63 ways as a sum of consecutive naturals, for example, 1165530696 + ... + 1165538112.

It is an arithmetic number, because the mean of its divisors is an integer number (115350493440).

Almost surely, 2^{8644768674468} 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 8644768674468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11073647370240).

8644768674468 is an abundant number, since it is smaller than the sum of its proper divisors (13502526066012).

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

8644768674468 is a wasteful number, since it uses less digits than its factorization.

8644768674468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9178 (or 9176 counting only the distinct ones).

The product of its digits is 8323596288, while the sum is 78.

The spelling of 8644768674468 in words is "eight trillion, six hundred forty-four billion, seven hundred sixty-eight million, six hundred seventy-four thousand, four hundred sixty-eight".