1668345352320 has 256 divisors, whose sum is σ = 5503545129600. Its totient is φ = 429369851904.

The previous prime is 1668345352309. The next prime is 1668345352357. The reversal of 1668345352320 is 232535438661.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1668345352320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176111104 + ... + 176120576.

Almost surely, 2^{1668345352320} is an apocalyptic number.

1668345352320 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 1668345352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751772564800).

1668345352320 is an abundant number, since it is smaller than the sum of its proper divisors (3835199777280).

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

1668345352320 is a wasteful number, since it uses less digits than its factorization.

1668345352320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12687 (or 12675 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 1668345352320 in words is "one trillion, six hundred sixty-eight billion, three hundred forty-five million, three hundred fifty-two thousand, three hundred twenty".