1668549044736 has 1280 divisors, whose sum is σ = 6233772441600. Its totient is φ = 429790593024.

The previous prime is 1668549044707. The next prime is 1668549044759. The reversal of 1668549044736 is 6374409458661.

1668549044736 is a `hidden beast` number, since 1 + 66 + 85 + 490 + 4 + 4 + 7 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 127 ways as a sum of consecutive naturals, for example, 4808498515 + ... + 4808498861.

It is an arithmetic number, because the mean of its divisors is an integer number (4870134720).

Almost surely, 2^{1668549044736} is an apocalyptic number.

1668549044736 is a gapful number since it is divisible by the number (16) 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 1668549044736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116886220800).

1668549044736 is an abundant number, since it is smaller than the sum of its proper divisors (4565223396864).

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

1668549044736 is a wasteful number, since it uses less digits than its factorization.

1668549044736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 1668549044736 in words is "one trillion, six hundred sixty-eight billion, five hundred forty-nine million, forty-four thousand, seven hundred thirty-six".