1686992083920 has 720 divisors, whose sum is σ = 6759325946880. Its totient is φ = 373741056000.

The previous prime is 1686992083891. The next prime is 1686992083937. The reversal of 1686992083920 is 293802996861.

1686992083920 is a `hidden beast` number, since 168 + 69 + 9 + 20 + 8 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 135180241 + ... + 135192719.

It is an arithmetic number, because the mean of its divisors is an integer number (9387952704).

Almost surely, 2^{1686992083920} is an apocalyptic number.

1686992083920 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 1686992083920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379662973440).

1686992083920 is an abundant number, since it is smaller than the sum of its proper divisors (5072333862960).

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

1686992083920 is a wasteful number, since it uses less digits than its factorization.

1686992083920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12636 (or 12614 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 1686992083920 in words is "one trillion, six hundred eighty-six billion, nine hundred ninety-two million, eighty-three thousand, nine hundred twenty".