1668330720 has 576 divisors, whose sum is σ = 7095029760. Its totient is φ = 348364800.

The previous prime is 1668330709. The next prime is 1668330743. The reversal of 1668330720 is 270338661.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5936980 + ... + 5937260.

It is an arithmetic number, because the mean of its divisors is an integer number (12317760).

Almost surely, 2^1668330720 is an apocalyptic number.

1668330720 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 1668330720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547514880).

1668330720 is an abundant number, since it is smaller than the sum of its proper divisors (5426699040).

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

1668330720 is a wasteful number, since it uses less digits than its factorization.

1668330720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1668330720 is about 40845.2043696687. The cubic root of 1668330720 is about 1186.0255609228.

The spelling of 1668330720 in words is "one billion, six hundred sixty-eight million, three hundred thirty thousand, seven hundred twenty".