7817565107968 has 144 divisors (see below), whose sum is σ = 19457134260480. Its totient is φ = 3045482496000.

The previous prime is 7817565107953. The next prime is 7817565107977. The reversal of 7817565107968 is 8697015657187.

It is a super-2 number, since 2×7817565107968² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7817565107897 and 7817565107906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283858743 + ... + 283886281.

It is an arithmetic number, because the mean of its divisors is an integer number (135118987920).

Almost surely, 2^{7817565107968} 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 7817565107968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9728567130240).

7817565107968 is an abundant number, since it is smaller than the sum of its proper divisors (11639569152512).

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

7817565107968 is a wasteful number, since it uses less digits than its factorization.

7817565107968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41974 (or 41960 counting only the distinct ones).

The product of its (nonzero) digits is 177811200, while the sum is 70.

The spelling of 7817565107968 in words is "seven trillion, eight hundred seventeen billion, five hundred sixty-five million, one hundred seven thousand, nine hundred sixty-eight".