1668544768 has 72 divisors (see below), whose sum is σ = 3643879680. Its totient is φ = 756234240.

The previous prime is 1668544687. The next prime is 1668544789. The reversal of 1668544768 is 8674458661.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1348246 + ... + 1349482.

It is an arithmetic number, because the mean of its divisors is an integer number (50609440).

Almost surely, 2^1668544768 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 1668544768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821939840).

1668544768 is an abundant number, since it is smaller than the sum of its proper divisors (1975334912).

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

1668544768 is a wasteful number, since it uses less digits than its factorization.

1668544768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1729 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 55.

The square root of 1668544768 is about 40847.8245197954. The cubic root of 1668544768 is about 1186.0762813905.

The spelling of 1668544768 in words is "one billion, six hundred sixty-eight million, five hundred forty-four thousand, seven hundred sixty-eight".