1668704593920 has 2304 divisors, whose sum is σ = 7282727262720. Its totient is φ = 317995352064.

The previous prime is 1668704593901. The next prime is 1668704593921. The reversal of 1668704593920 is 293954078661.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668704593921) 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 191 ways as a sum of consecutive naturals, for example, 22858967004 + ... + 22858967076.

It is an arithmetic number, because the mean of its divisors is an integer number (3160905930).

It is a 1-persistent number, because it is pandigital, but 2⋅1668704593920 = 3337409187840 is not.

Almost surely, 2^{1668704593920} is an apocalyptic number.

1668704593920 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 1668704593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641363631360).

1668704593920 is an abundant number, since it is smaller than the sum of its proper divisors (5614022668800).

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

1668704593920 is a wasteful number, since it uses less digits than its factorization.

1668704593920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 1668704593920 in words is "one trillion, six hundred sixty-eight billion, seven hundred four million, five hundred ninety-three thousand, nine hundred twenty".