1683756816960 has 224 divisors, whose sum is σ = 5628734040960. Its totient is φ = 425261187072.

The previous prime is 1683756816953. The next prime is 1683756816971. The reversal of 1683756816960 is 696186573861.

It is a junction number, because it is equal to n+sod(n) for n = 1683756816891 and 1683756816900.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89968564 + ... + 89987276.

Almost surely, 2^{1683756816960} is an apocalyptic number.

1683756816960 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 1683756816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814367020480).

1683756816960 is an abundant number, since it is smaller than the sum of its proper divisors (3944977224000).

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

1683756816960 is a wasteful number, since it uses less digits than its factorization.

1683756816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23685 (or 23675 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 1683756816960 in words is "one trillion, six hundred eighty-three billion, seven hundred fifty-six million, eight hundred sixteen thousand, nine hundred sixty".