1668407218900 has 36 divisors (see below), whose sum is σ = 3777854264352. Its totient is φ = 638347108960.

The previous prime is 1668407218873. The next prime is 1668407218901. The reversal of 1668407218900 is 98127048661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668407218901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 362694922 + ... + 362699521.

It is an arithmetic number, because the mean of its divisors is an integer number (104940396232).

Almost surely, 2^{1668407218900} is an apocalyptic number.

1668407218900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1668407218900 is an abundant number, since it is smaller than the sum of its proper divisors (2109447045452).

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

1668407218900 is a wasteful number, since it uses less digits than its factorization.

1668407218900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725394480 (or 725394473 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 52.

The spelling of 1668407218900 in words is "one trillion, six hundred sixty-eight billion, four hundred seven million, two hundred eighteen thousand, nine hundred".