17768572968 has 64 divisors (see below), whose sum is σ = 45655983360. Its totient is φ = 5759859456.

The previous prime is 17768572897. The next prime is 17768572993. The reversal of 17768572968 is 86927586771.

It is a junction number, because it is equal to n+sod(n) for n = 17768572899 and 17768572908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126930 + ... + 227262.

It is an arithmetic number, because the mean of its divisors is an integer number (713374740).

Almost surely, 2^17768572968 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 17768572968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22827991680).

17768572968 is an abundant number, since it is smaller than the sum of its proper divisors (27887410392).

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

17768572968 is a wasteful number, since it uses less digits than its factorization.

17768572968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100546 (or 100542 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 66.

The spelling of 17768572968 in words is "seventeen billion, seven hundred sixty-eight million, five hundred seventy-two thousand, nine hundred sixty-eight".