6781328424 has 160 divisors (see below), whose sum is σ = 21658772520. Its totient is φ = 1963782144.

The previous prime is 6781328417. The next prime is 6781328447. The reversal of 6781328424 is 4248231876.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3971268324 + 2810060100 = 63018^2 + 53010^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6781328424.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119532 + ... + 166884.

Almost surely, 2^6781328424 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 6781328424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10829386260).

6781328424 is an abundant number, since it is smaller than the sum of its proper divisors (14877444096).

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

6781328424 is a wasteful number, since it uses less digits than its factorization.

6781328424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47401 (or 47388 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 6781328424 is about 82348.8216309135. The cubic root of 6781328424 is about 1892.8008661312.

The spelling of 6781328424 in words is "six billion, seven hundred eighty-one million, three hundred twenty-eight thousand, four hundred twenty-four".