6682874782800 has 120 divisors (see below), whose sum is σ = 21431613663936. Its totient is φ = 1780090526720.

The previous prime is 6682874782751. The next prime is 6682874782817. The reversal of 6682874782800 is 82874782866.

It is a tau number, because it is divible by the number of its divisors (120).

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, 2074869 + ... + 4203668.

Almost surely, 2^{6682874782800} is an apocalyptic number.

6682874782800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6682874782800 is an abundant number, since it is smaller than the sum of its proper divisors (14748738881136).

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

6682874782800 is a wasteful number, since it uses less digits than its factorization.

6682874782800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6279445 (or 6279434 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 66.

Adding to 6682874782800 its sum of digits (66), we get a palindrome (6682874782866).

The spelling of 6682874782800 in words is "six trillion, six hundred eighty-two billion, eight hundred seventy-four million, seven hundred eighty-two thousand, eight hundred".