6804435456 has 480 divisors, whose sum is σ = 25106809728. Its totient is φ = 1791590400.

The previous prime is 6804435409. The next prime is 6804435461. The reversal of 6804435456 is 6545344086.

6804435456 is a `hidden beast` number, since 68 + 0 + 4 + 43 + 545 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11321556 + ... + 11322156.

Almost surely, 2^6804435456 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 6804435456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12553404864).

6804435456 is an abundant number, since it is smaller than the sum of its proper divisors (18302374272).

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

6804435456 is an equidigital number, since it uses as much as digits as its factorization.

6804435456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The square root of 6804435456 is about 82489.0020305737. The cubic root of 6804435456 is about 1894.9483031360.

It can be divided in two parts, 6804 and 435456, that multiplied together give a square (2962842624 = 54432²).

The spelling of 6804435456 in words is "six billion, eight hundred four million, four hundred thirty-five thousand, four hundred fifty-six".