1668188649600 has 960 divisors, whose sum is σ = 6734499187680. Its totient is φ = 403273728000.

The previous prime is 1668188649583. The next prime is 1668188649613. The reversal of 1668188649600 is 69468818661.

1668188649600 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 18 + 8 + 6 + 4 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 1485474639 + ... + 1485475761.

Almost surely, 2^{1668188649600} is an apocalyptic number.

1668188649600 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 1668188649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367249593840).

1668188649600 is an abundant number, since it is smaller than the sum of its proper divisors (5066310538080).

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

1668188649600 is a wasteful number, since it uses less digits than its factorization.

1668188649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 1668188649600 in words is "one trillion, six hundred sixty-eight billion, one hundred eighty-eight million, six hundred forty-nine thousand, six hundred".