12684918435840 has 1664 divisors, whose sum is σ = 52897640509440. Its totient is φ = 2824077312000.

The previous prime is 12684918435779. The next prime is 12684918435851. The reversal of 12684918435840 is 4853481948621.

It is a happy number.

12684918435840 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 4 + 9 + 1 + 8 + 43 + 584 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27756932892 + ... + 27756933348.

Almost surely, 2^{12684918435840} is an apocalyptic number.

12684918435840 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 12684918435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26448820254720).

12684918435840 is an abundant number, since it is smaller than the sum of its proper divisors (40212722073600).

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

12684918435840 is a wasteful number, since it uses less digits than its factorization.

12684918435840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 12684918435840 in words is "twelve trillion, six hundred eighty-four billion, nine hundred eighteen million, four hundred thirty-five thousand, eight hundred forty".