1686547680768 has 240 divisors, whose sum is σ = 5159689419456. Its totient is φ = 528509829120.

The previous prime is 1686547680737. The next prime is 1686547680793. The reversal of 1686547680768 is 8670867456861.

1686547680768 is a `hidden beast` number, since 1 + 6 + 8 + 6 + 5 + 476 + 80 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1686547680696 and 1686547680705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71352280 + ... + 71375912.

Almost surely, 2^{1686547680768} is an apocalyptic number.

1686547680768 is a gapful number since it is divisible by the number (18) 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 1686547680768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579844709728).

1686547680768 is an abundant number, since it is smaller than the sum of its proper divisors (3473141738688).

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

1686547680768 is a wasteful number, since it uses less digits than its factorization.

1686547680768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24585 (or 24566 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 1686547680768 in words is "one trillion, six hundred eighty-six billion, five hundred forty-seven million, six hundred eighty thousand, seven hundred sixty-eight".