6783806016 has 252 divisors, whose sum is σ = 21216987792. Its totient is φ = 2071360512.

The previous prime is 6783805949. The next prime is 6783806059. The reversal of 6783806016 is 6106083876.

6783806016 is a `hidden beast` number, since 6 + 7 + 8 + 38 + 0 + 601 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22096935 + ... + 22097241.

It is an arithmetic number, because the mean of its divisors is an integer number (84194396).

Almost surely, 2^6783806016 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 6783806016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10608493896).

6783806016 is an abundant number, since it is smaller than the sum of its proper divisors (14433181776).

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

6783806016 is a wasteful number, since it uses less digits than its factorization.

6783806016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6783806016 is about 82363.8635324983. The cubic root of 6783806016 is about 1893.0313527942.

The spelling of 6783806016 in words is "six billion, seven hundred eighty-three million, eight hundred six thousand, sixteen".