6684429312 has 352 divisors, whose sum is σ = 22323763200. Its totient is φ = 1957478400.

The previous prime is 6684429289. The next prime is 6684429317. The reversal of 6684429312 is 2139244866.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is not an unprimeable number, because it can be changed into a prime (6684429317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9427614 + ... + 9428322.

Almost surely, 2^6684429312 is an apocalyptic number.

6684429312 is a gapful number since it is divisible by the number (62) 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 6684429312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11161881600).

6684429312 is an abundant number, since it is smaller than the sum of its proper divisors (15639333888).

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

6684429312 is a wasteful number, since it uses less digits than its factorization.

6684429312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 756 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 6684429312 is about 81758.3592790364. The cubic root of 6684429312 is about 1883.7421043395.

The spelling of 6684429312 in words is "six billion, six hundred eighty-four million, four hundred twenty-nine thousand, three hundred twelve".