6828204529440 has 2304 divisors, whose sum is σ = 29871584870400. Its totient is φ = 1385496576000.

The previous prime is 6828204529417. The next prime is 6828204529481. The reversal of 6828204529440 is 449254028286.

6828204529440 is a `hidden beast` number, since 6 + 82 + 8 + 20 + 452 + 94 + 4 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 35379297984 + ... + 35379298176.

It is an arithmetic number, because the mean of its divisors is an integer number (12965097600).

Almost surely, 2^{6828204529440} is an apocalyptic number.

6828204529440 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 6828204529440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14935792435200).

6828204529440 is an abundant number, since it is smaller than the sum of its proper divisors (23043380340960).

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

6828204529440 is a wasteful number, since it uses less digits than its factorization.

6828204529440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 6828204529440 in words is "six trillion, eight hundred twenty-eight billion, two hundred four million, five hundred twenty-nine thousand, four hundred forty".