6666688784448 has 840 divisors, whose sum is σ = 25327877598144. Its totient is φ = 1714390272000.

The previous prime is 6666688784419. The next prime is 6666688784519. The reversal of 6666688784448 is 8444878866666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 282199965 + ... + 282223587.

Almost surely, 2^{6666688784448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6666688784448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12663938799072).

6666688784448 is an abundant number, since it is smaller than the sum of its proper divisors (18661188813696).

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

6666688784448 is a wasteful number, since it uses less digits than its factorization.

6666688784448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23773 (or 23747 counting only the distinct ones).

The product of its digits is 14269022208, while the sum is 81.

The spelling of 6666688784448 in words is "six trillion, six hundred sixty-six billion, six hundred eighty-eight million, seven hundred eighty-four thousand, four hundred forty-eight".