1680492382800 has 1920 divisors, whose sum is σ = 7196145131520. Its totient is φ = 327849984000.

The previous prime is 1680492382759. The next prime is 1680492382889. The reversal of 1680492382800 is 82832940861.

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 23020443564 + ... + 23020443636.

It is an arithmetic number, because the mean of its divisors is an integer number (3747992256).

Almost surely, 2^{1680492382800} is an apocalyptic number.

1680492382800 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 1680492382800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598072565760).

1680492382800 is an abundant number, since it is smaller than the sum of its proper divisors (5515652748720).

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

1680492382800 is a wasteful number, since it uses less digits than its factorization.

1680492382800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 1680492382800 in words is "one trillion, six hundred eighty billion, four hundred ninety-two million, three hundred eighty-two thousand, eight hundred".