1668513887040 has 1792 divisors, whose sum is σ = 7374901395456. Its totient is φ = 308418969600.

The previous prime is 1668513886997. The next prime is 1668513887057. The reversal of 1668513887040 is 407883158661.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 5937771700 + ... + 5937771980.

It is an arithmetic number, because the mean of its divisors is an integer number (4115458368).

Almost surely, 2^{1668513887040} is an apocalyptic number.

1668513887040 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 1668513887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3687450697728).

1668513887040 is an abundant number, since it is smaller than the sum of its proper divisors (5706387508416).

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

1668513887040 is a wasteful number, since it uses less digits than its factorization.

1668513887040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 1668513887040 in words is "one trillion, six hundred sixty-eight billion, five hundred thirteen million, eight hundred eighty-seven thousand, forty".