1668244200 has 288 divisors, whose sum is σ = 6068584800. Its totient is φ = 377986560.

The previous prime is 1668244181. The next prime is 1668244217. The reversal of 1668244200 is 24428661.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5262442 + ... + 5262758.

It is an arithmetic number, because the mean of its divisors is an integer number (21071475).

Almost surely, 2^1668244200 is an apocalyptic number.

1668244200 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 1668244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034292400).

1668244200 is an abundant number, since it is smaller than the sum of its proper divisors (4400340600).

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

1668244200 is a wasteful number, since it uses less digits than its factorization.

1668244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 1668244200 is about 40844.1452352721. The cubic root of 1668244200 is about 1186.0050580524.

The spelling of 1668244200 in words is "one billion, six hundred sixty-eight million, two hundred forty-four thousand, two hundred".