6802750563840 has 2160 divisors, whose sum is σ = 31721916386160. Its totient is φ = 1338649804800.

The previous prime is 6802750563823. The next prime is 6802750563953. The reversal of 6802750563840 is 483650572086.

6802750563840 is a `hidden beast` number, since 6 + 8 + 0 + 2 + 75 + 0 + 563 + 8 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2595477730 + ... + 2595480350.

It is an arithmetic number, because the mean of its divisors is an integer number (14686072401).

Almost surely, 2^{6802750563840} is an apocalyptic number.

6802750563840 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 6802750563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15860958193080).

6802750563840 is an abundant number, since it is smaller than the sum of its proper divisors (24919165822320).

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

6802750563840 is a wasteful number, since it uses less digits than its factorization.

6802750563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 6802750563840 in words is "six trillion, eight hundred two billion, seven hundred fifty million, five hundred sixty-three thousand, eight hundred forty".