1668744000 has 1008 divisors, whose sum is σ = 7751405376. Its totient is φ = 338688000.

The previous prime is 1668743963. The next prime is 1668744031. The reversal of 1668744000 is 4478661.

It is a tau number, because it is divible by the number of its divisors (1008).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38807979 + ... + 38808021.

Almost surely, 2^1668744000 is an apocalyptic number.

1668744000 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 1668744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875702688).

1668744000 is an abundant number, since it is smaller than the sum of its proper divisors (6082661376).

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

1668744000 is a wasteful number, since it uses less digits than its factorization.

1668744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1668744000 is about 40850.2631570471. The cubic root of 1668744000 is about 1186.1234871851.

The spelling of 1668744000 in words is "one billion, six hundred sixty-eight million, seven hundred forty-four thousand".