6828852081744 has 1200 divisors, whose sum is σ = 25989808768000. Its totient is φ = 1692381081600.

The previous prime is 6828852081707. The next prime is 6828852081781. The reversal of 6828852081744 is 4471802588286.

6828852081744 is a `hidden beast` number, since 6 + 8 + 28 + 8 + 520 + 81 + 7 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6828852081707) and next prime (6828852081781).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2484120882 + ... + 2484123630.

Almost surely, 2^{6828852081744} 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 6828852081744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12994904384000).

6828852081744 is an abundant number, since it is smaller than the sum of its proper divisors (19160956686256).

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

6828852081744 is a wasteful number, since it uses less digits than its factorization.

6828852081744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 55050240, while the sum is 63.

The spelling of 6828852081744 in words is "six trillion, eight hundred twenty-eight billion, eight hundred fifty-two million, eighty-one thousand, seven hundred forty-four".