6318889344768 has 1152 divisors, whose sum is σ = 23213079429120. Its totient is φ = 1472991068160.

The previous prime is 6318889344763. The next prime is 6318889344839. The reversal of 6318889344768 is 8674439888136.

It is a self number, because there is not a number n which added to its sum of digits gives 6318889344768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6318889344763) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6467644696 + ... + 6467645672.

It is an arithmetic number, because the mean of its divisors is an integer number (20150242560).

Almost surely, 2^{6318889344768} 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 6318889344768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11606539714560).

6318889344768 is an abundant number, since it is smaller than the sum of its proper divisors (16894190084352).

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

6318889344768 is a wasteful number, since it uses less digits than its factorization.

6318889344768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1239 counting only the distinct ones).

The product of its digits is 1337720832, while the sum is 75.

The spelling of 6318889344768 in words is "six trillion, three hundred eighteen billion, eight hundred eighty-nine million, three hundred forty-four thousand, seven hundred sixty-eight".