6802543675728 has 1120 divisors, whose sum is σ = 23066288663040. Its totient is φ = 1928467906560.

The previous prime is 6802543675699. The next prime is 6802543675751. The reversal of 6802543675728 is 8275763452086.

6802543675728 is a `hidden beast` number, since 6 + 8 + 0 + 2 + 54 + 3 + 6 + 7 + 572 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 7259918076 + ... + 7259919012.

It is an arithmetic number, because the mean of its divisors is an integer number (20594900592).

Almost surely, 2^{6802543675728} is an apocalyptic number.

6802543675728 is a gapful number since it is divisible by the number (68) 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 6802543675728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11533144331520).

6802543675728 is an abundant number, since it is smaller than the sum of its proper divisors (16263744987312).

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

6802543675728 is a wasteful number, since it uses less digits than its factorization.

6802543675728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 6802543675728 in words is "six trillion, eight hundred two billion, five hundred forty-three million, six hundred seventy-five thousand, seven hundred twenty-eight".