6684734784 has 448 divisors, whose sum is σ = 22940467200. Its totient is φ = 1670602752.

The previous prime is 6684734783. The next prime is 6684734803. The reversal of 6684734784 is 4874374866.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6684734783) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40028269 + ... + 40028435.

It is an arithmetic number, because the mean of its divisors is an integer number (51206400).

Almost surely, 2^6684734784 is an apocalyptic number.

6684734784 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 6684734784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11470233600).

6684734784 is an abundant number, since it is smaller than the sum of its proper divisors (16255732416).

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

6684734784 is a wasteful number, since it uses less digits than its factorization.

6684734784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 300 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 57.

The square root of 6684734784 is about 81760.2273969440. The cubic root of 6684734784 is about 1883.7707989708.

The spelling of 6684734784 in words is "six billion, six hundred eighty-four million, seven hundred thirty-four thousand, seven hundred eighty-four".