17968325760 has 1152 divisors, whose sum is σ = 81265766400. Its totient is φ = 3576545280.

The previous prime is 17968325699. The next prime is 17968325773. The reversal of 17968325760 is 6752386971.

17968325760 is a `hidden beast` number, since 1 + 7 + 9 + 68 + 3 + 2 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 17968325697 and 17968325706.

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 143 ways as a sum of consecutive naturals, for example, 141482817 + ... + 141482943.

It is an arithmetic number, because the mean of its divisors is an integer number (70543200).

Almost surely, 2^17968325760 is an apocalyptic number.

17968325760 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 17968325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40632883200).

17968325760 is an abundant number, since it is smaller than the sum of its proper divisors (63297440640).

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

17968325760 is a wasteful number, since it uses less digits than its factorization.

17968325760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 17968325760 in words is "seventeen billion, nine hundred sixty-eight million, three hundred twenty-five thousand, seven hundred sixty".