6785728406208 has 168 divisors, whose sum is σ = 20172876451728. Its totient is φ = 2261636038656.

The previous prime is 6785728406189. The next prime is 6785728406269. The reversal of 6785728406208 is 8026048275876.

6785728406208 is a `hidden beast` number, since 67 + 85 + 72 + 8 + 406 + 20 + 8 = 666.

It is a super-2 number, since 2×6785728406208² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159744460 + ... + 159786932.

It is an arithmetic number, because the mean of its divisors is an integer number (120076645546).

Almost surely, 2^{6785728406208} 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 6785728406208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10086438225864).

6785728406208 is an abundant number, since it is smaller than the sum of its proper divisors (13387148045520).

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

6785728406208 is a wasteful number, since it uses less digits than its factorization.

6785728406208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52773 (or 52751 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 6785728406208 in words is "six trillion, seven hundred eighty-five billion, seven hundred twenty-eight million, four hundred six thousand, two hundred eight".