6801814656 has 864 divisors, whose sum is σ = 26556491520. Its totient is φ = 1660538880.

The previous prime is 6801814589. The next prime is 6801814661. The reversal of 6801814656 is 6564181086.

6801814656 is a `hidden beast` number, since 6 + 8 + 0 + 181 + 465 + 6 = 666.

It is a super-2 number, since 2×6801814656² = 92529365229152796672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 219413361 + ... + 219413391.

It is an arithmetic number, because the mean of its divisors is an integer number (30736680).

Almost surely, 2^6801814656 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 6801814656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13278245760).

6801814656 is an abundant number, since it is smaller than the sum of its proper divisors (19754676864).

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

6801814656 is a wasteful number, since it uses less digits than its factorization.

6801814656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 6801814656 is about 82473.1147465645. The cubic root of 6801814656 is about 1894.7049854605.

The spelling of 6801814656 in words is "six billion, eight hundred one million, eight hundred fourteen thousand, six hundred fifty-six".