6828901706880 has 384 divisors, whose sum is σ = 26677559563200. Its totient is φ = 1655490908160.

The previous prime is 6828901706863. The next prime is 6828901706917. The reversal of 6828901706880 is 886071098286.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×6828901706880³ (a number of 39 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 285195 + ... + 3706634.

Almost surely, 2^{6828901706880} is an apocalyptic number.

6828901706880 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 6828901706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13338779781600).

6828901706880 is an abundant number, since it is smaller than the sum of its proper divisors (19848657856320).

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

6828901706880 is a wasteful number, since it uses less digits than its factorization.

6828901706880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991874 (or 3991850 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 6828901706880 in words is "six trillion, eight hundred twenty-eight billion, nine hundred one million, seven hundred six thousand, eight hundred eighty".