6338668336 has 160 divisors (see below), whose sum is σ = 16604937216. Its totient is φ = 2263680000.

The previous prime is 6338668333. The next prime is 6338668339.

6338668336 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6338668333) and next prime (6338668339).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (6338668333) 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, 2417106 + ... + 2419726.

Almost surely, 2^6338668336 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 6338668336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8302468608).

6338668336 is an abundant number, since it is smaller than the sum of its proper divisors (10266268880).

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

6338668336 is a wasteful number, since it uses less digits than its factorization.

6338668336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2805 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 52.

The square root of 6338668336 is about 79615.7543203605. The cubic root of 6338668336 is about 1850.6857293334.

The spelling of 6338668336 in words is "six billion, three hundred thirty-eight million, six hundred sixty-eight thousand, three hundred thirty-six".