6336268626336 has 144 divisors (see below), whose sum is σ = 18287110924992. Its totient is φ = 1919568752640.

The previous prime is 6336268626329. The next prime is 6336268626421.

6336268626336 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6336268626336.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44615856 + ... + 44757648.

It is an arithmetic number, because the mean of its divisors is an integer number (126993825868).

Almost surely, 2^{6336268626336} is an apocalyptic number.

6336268626336 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 6336268626336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9143555462496).

6336268626336 is an abundant number, since it is smaller than the sum of its proper divisors (11950842298656).

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

6336268626336 is a wasteful number, since it uses less digits than its factorization.

6336268626336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145675 (or 145656 counting only the distinct ones).

The product of its digits is 120932352, while the sum is 60.

The spelling of 6336268626336 in words is "six trillion, three hundred thirty-six billion, two hundred sixty-eight million, six hundred twenty-six thousand, three hundred thirty-six".