668729863273184 has 192 divisors, whose sum is σ = 1378316525322240. Its totient is φ = 318981343887360.

The previous prime is 668729863273183. The next prime is 668729863273193. The reversal of 668729863273184 is 481372368927866.

668729863273184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 668729863273099 and 668729863273108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668729863273183) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34239397499 + ... + 34239417029.

It is an arithmetic number, because the mean of its divisors is an integer number (7178731902720).

Almost surely, 2^{668729863273184} 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 668729863273184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689158262661120).

668729863273184 is an abundant number, since it is smaller than the sum of its proper divisors (709586662049056).

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

668729863273184 is a wasteful number, since it uses less digits than its factorization.

668729863273184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20873 (or 20865 counting only the distinct ones).

The product of its digits is 7023034368, while the sum is 80.

The spelling of 668729863273184 in words is "six hundred sixty-eight trillion, seven hundred twenty-nine billion, eight hundred sixty-three million, two hundred seventy-three thousand, one hundred eighty-four".