6784440768 has 560 divisors, whose sum is σ = 24516388864. Its totient is φ = 1813985280.

The previous prime is 6784440701. The next prime is 6784440769. The reversal of 6784440768 is 8670444876.

6784440768 is a `hidden beast` number, since 67 + 84 + 440 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6784440769) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 41622255 + ... + 41622417.

Almost surely, 2^6784440768 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 6784440768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12258194432).

6784440768 is an abundant number, since it is smaller than the sum of its proper divisors (17731948096).

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

6784440768 is a wasteful number, since it uses less digits than its factorization.

6784440768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The square root of 6784440768 is about 82367.7167827299. The cubic root of 6784440768 is about 1893.0903937888.

The spelling of 6784440768 in words is "six billion, seven hundred eighty-four million, four hundred forty thousand, seven hundred sixty-eight".