1668340410912 has 864 divisors, whose sum is σ = 6002208838080. Its totient is φ = 436744949760.

The previous prime is 1668340410907. The next prime is 1668340410977. The reversal of 1668340410912 is 2190140438661.

1668340410912 is a `hidden beast` number, since 1 + 66 + 83 + 404 + 109 + 1 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2093274898 + ... + 2093275694.

It is an arithmetic number, because the mean of its divisors is an integer number (6947000970).

Almost surely, 2^{1668340410912} is an apocalyptic number.

1668340410912 is a gapful number since it is divisible by the number (12) 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 1668340410912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001104419040).

1668340410912 is an abundant number, since it is smaller than the sum of its proper divisors (4333868427168).

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

1668340410912 is a wasteful number, since it uses less digits than its factorization.

1668340410912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1668340410912 in words is "one trillion, six hundred sixty-eight billion, three hundred forty million, four hundred ten thousand, nine hundred twelve".