1680319809792 has 648 divisors, whose sum is σ = 5470160387328. Its totient is φ = 495286272000.

The previous prime is 1680319809731. The next prime is 1680319809827. The reversal of 1680319809792 is 2979089130861.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1291559542 + ... + 1291560842.

It is an arithmetic number, because the mean of its divisors is an integer number (8441605536).

Almost surely, 2^{1680319809792} is an apocalyptic number.

1680319809792 is a gapful number since it is divisible by the number (12) 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 1680319809792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735080193664).

1680319809792 is an abundant number, since it is smaller than the sum of its proper divisors (3789840577536).

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

1680319809792 is a wasteful number, since it uses less digits than its factorization.

1680319809792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 1680319809792 in words is "one trillion, six hundred eighty billion, three hundred nineteen million, eight hundred nine thousand, seven hundred ninety-two".