6784261128 has 108 divisors (see below), whose sum is σ = 19552687245. Its totient is φ = 2124668160.

The previous prime is 6784261097. The next prime is 6784261129. The reversal of 6784261128 is 8211624876.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

6784261128 is a `hidden beast` number, since 6 + 7 + 8 + 4 + 2 + 611 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6209124804 + 575136324 = 78798^2 + 23982^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=58242.

It is not an unprimeable number, because it can be changed into a prime (6784261129) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11881083 + ... + 11881653.

Almost surely, 2^6784261128 is an apocalyptic number.

6784261128 is a gapful number since it is divisible by the number (68) 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 6784261128

6784261128 is an abundant number, since it is smaller than the sum of its proper divisors (12768426117).

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

6784261128 is a wasteful number, since it uses less digits than its factorization.

6784261128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 593 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 6784261128 is about 82366.6262997338. The cubic root of 6784261128 is about 1893.0736850788.

The spelling of 6784261128 in words is "six billion, seven hundred eighty-four million, two hundred sixty-one thousand, one hundred twenty-eight".