8693840483968 has 64 divisors (see below), whose sum is σ = 17463338726400. Its totient is φ = 4310947305472.

The previous prime is 8693840483917. The next prime is 8693840483971.

8693840483968 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 8693840483894 and 8693840483903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17625921 + ... + 18112447.

It is an arithmetic number, because the mean of its divisors is an integer number (272864667600).

Almost surely, 2^{8693840483968} 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 8693840483968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8731669363200).

8693840483968 is an abundant number, since it is smaller than the sum of its proper divisors (8769498242432).

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

8693840483968 is a wasteful number, since it uses less digits than its factorization.

8693840483968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487697 (or 487685 counting only the distinct ones).

The product of its (nonzero) digits is 1719926784, while the sum is 76.

The spelling of 8693840483968 in words is "eight trillion, six hundred ninety-three billion, eight hundred forty million, four hundred eighty-three thousand, nine hundred sixty-eight".