6826656816 has 480 divisors, whose sum is σ = 24334442496. Its totient is φ = 1741824000.

The previous prime is 6826656787. The next prime is 6826656829. The reversal of 6826656816 is 6186566286.

It is a happy number.

6826656816 is a `hidden beast` number, since 6 + 8 + 2 + 66 + 568 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37716246 + ... + 37716426.

Almost surely, 2^6826656816 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 6826656816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12167221248).

6826656816 is an abundant number, since it is smaller than the sum of its proper divisors (17507785680).

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

6826656816 is a wasteful number, since it uses less digits than its factorization.

6826656816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 312 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 6826656816 is about 82623.5851074014. The cubic root of 6826656816 is about 1897.0088499523.

The spelling of 6826656816 in words is "six billion, eight hundred twenty-six million, six hundred fifty-six thousand, eight hundred sixteen".