1686303949680 has 600 divisors, whose sum is σ = 6958011855168. Its totient is φ = 377236694016.

The previous prime is 1686303949657. The next prime is 1686303949709. The reversal of 1686303949680 is 869493036861.

1686303949680 is a `hidden beast` number, since 1 + 6 + 8 + 6 + 30 + 39 + 496 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14866942 + ... + 14979938.

Almost surely, 2^{1686303949680} is an apocalyptic number.

1686303949680 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 1686303949680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479005927584).

1686303949680 is an abundant number, since it is smaller than the sum of its proper divisors (5271707905488).

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

1686303949680 is a wasteful number, since it uses less digits than its factorization.

1686303949680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113083 (or 113061 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 1686303949680 in words is "one trillion, six hundred eighty-six billion, three hundred three million, nine hundred forty-nine thousand, six hundred eighty".