6828664438080 has 672 divisors, whose sum is σ = 24633892108800. Its totient is φ = 1733962137600.

The previous prime is 6828664438069. The next prime is 6828664438087. The reversal of 6828664438080 is 808344668286.

It is a happy number.

6828664438080 is a `hidden beast` number, since 6 + 82 + 8 + 66 + 44 + 380 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6828664437999 and 6828664438017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6828664438087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3649739545 + ... + 3649741415.

Almost surely, 2^{6828664438080} is an apocalyptic number.

6828664438080 is a gapful number since it is divisible by the number (60) 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 6828664438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12316946054400).

6828664438080 is an abundant number, since it is smaller than the sum of its proper divisors (17805227670720).

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

6828664438080 is a wasteful number, since it uses less digits than its factorization.

6828664438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 6828664438080 in words is "six trillion, eight hundred twenty-eight billion, six hundred sixty-four million, four hundred thirty-eight thousand, eighty".