17968019464960 has 144 divisors (see below), whose sum is σ = 43165202220000. Its totient is φ = 7166163714048.

The previous prime is 17968019464957. The next prime is 17968019464963. The reversal of 17968019464960 is 6946491086971.

It is an interprime number because it is at equal distance from previous prime (17968019464957) and next prime (17968019464963).

It is a self number, because there is not a number n which added to its sum of digits gives 17968019464960.

It is not an unprimeable number, because it can be changed into a prime (17968019464963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 721102422 + ... + 721127338.

It is an arithmetic number, because the mean of its divisors is an integer number (299758348750).

Almost surely, 2^{17968019464960} is an apocalyptic number.

17968019464960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17968019464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21582601110000).

17968019464960 is an abundant number, since it is smaller than the sum of its proper divisors (25197182755040).

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

17968019464960 is a wasteful number, since it uses less digits than its factorization.

17968019464960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26566 (or 26552 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 70.

The spelling of 17968019464960 in words is "seventeen trillion, nine hundred sixty-eight billion, nineteen million, four hundred sixty-four thousand, nine hundred sixty".