1668893185440 has 768 divisors, whose sum is σ = 6724250588160. Its totient is φ = 383347261440.

The previous prime is 1668893185439. The next prime is 1668893185441. The reversal of 1668893185440 is 445813988661.

1668893185440 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 8 + 9 + 3 + 185 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (1668893185439) and next prime (1668893185441).

It is not an unprimeable number, because it can be changed into a prime (1668893185441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52943124 + ... + 52974636.

It is an arithmetic number, because the mean of its divisors is an integer number (8755534620).

Almost surely, 2^{1668893185440} is an apocalyptic number.

1668893185440 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 1668893185440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362125294080).

1668893185440 is an abundant number, since it is smaller than the sum of its proper divisors (5055357402720).

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

1668893185440 is a wasteful number, since it uses less digits than its factorization.

1668893185440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31614 (or 31600 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 1668893185440 in words is "one trillion, six hundred sixty-eight billion, eight hundred ninety-three million, one hundred eighty-five thousand, four hundred forty".