6786434304 has 324 divisors, whose sum is σ = 21954982140. Its totient is φ = 2012774400.

The previous prime is 6786434299. The next prime is 6786434353. The reversal of 6786434304 is 4034346876.

It can be written as a sum of positive squares in 6 ways, for example, as 244859904 + 6541574400 = 15648^2 + 80880^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6786434304.

It is a congruent number.

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, 11291604 + ... + 11292204.

Almost surely, 2^6786434304 is an apocalyptic number.

6786434304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6786434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10977491070).

6786434304 is an abundant number, since it is smaller than the sum of its proper divisors (15168547836).

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

6786434304 is a wasteful number, since it uses less digits than its factorization.

6786434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 6786434304 is about 82379.8173341019. The cubic root of 6786434304 is about 1893.2757971451.

It can be divided in two parts, 6786 and 434304, that multiplied together give a square (2947186944 = 54288²).

The spelling of 6786434304 in words is "six billion, seven hundred eighty-six million, four hundred thirty-four thousand, three hundred four".