18443872687680 has 1792 divisors, whose sum is σ = 77240787148800. Its totient is φ = 4095995904000.

The previous prime is 18443872687633. The next prime is 18443872687699. The reversal of 18443872687680 is 8678627834481.

18443872687680 is a `hidden beast` number, since 1 + 8 + 4 + 438 + 72 + 68 + 7 + 68 + 0 = 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 = 18443872687599 and 18443872687608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8304308970 + ... + 8304311190.

Almost surely, 2^{18443872687680} is an apocalyptic number.

18443872687680 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 18443872687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38620393574400).

18443872687680 is an abundant number, since it is smaller than the sum of its proper divisors (58796914461120).

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

18443872687680 is a wasteful number, since it uses less digits than its factorization.

18443872687680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 693633024, while the sum is 72.

The spelling of 18443872687680 in words is "eighteen trillion, four hundred forty-three billion, eight hundred seventy-two million, six hundred eighty-seven thousand, six hundred eighty".