6331881336 has 192 divisors, whose sum is σ = 18848522880. Its totient is φ = 1756293120.

The previous prime is 6331881331. The next prime is 6331881377.

6331881336 is nontrivially palindromic in base 10.

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 (6331881331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2821831 + ... + 2824073.

It is an arithmetic number, because the mean of its divisors is an integer number (98169390).

Almost surely, 2^6331881336 is an apocalyptic number.

6331881336 is a gapful number since it is divisible by the number (66) 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 6331881336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9424261440).

6331881336 is an abundant number, since it is smaller than the sum of its proper divisors (12516641544).

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

6331881336 is a wasteful number, since it uses less digits than its factorization.

6331881336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2313 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 6331881336 is about 79573.1194311245. The cubic root of 6331881336 is about 1850.0249654289.

The spelling of 6331881336 in words is "six billion, three hundred thirty-one million, eight hundred eighty-one thousand, three hundred thirty-six".