17668896768 has 240 divisors, whose sum is σ = 54024810840. Its totient is φ = 5750341632.

The previous prime is 17668896767. The next prime is 17668896779. The reversal of 17668896768 is 86769886671.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 17668896696 and 17668896705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17668896767) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 7131946 + ... + 7134422.

Almost surely, 2^17668896768 is an apocalyptic number.

17668896768 is a gapful number since it is divisible by the number (18) 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 17668896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27012405420).

17668896768 is an abundant number, since it is smaller than the sum of its proper divisors (36355914072).

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

17668896768 is an equidigital number, since it uses as much as digits as its factorization.

17668896768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2525 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 72.

The spelling of 17668896768 in words is "seventeen billion, six hundred sixty-eight million, eight hundred ninety-six thousand, seven hundred sixty-eight".