6338487168 has 640 divisors, whose sum is σ = 22061571840. Its totient is φ = 1791590400.

The previous prime is 6338487151. The next prime is 6338487203. The reversal of 6338487168 is 8617848336.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 154597228 + ... + 154597268.

It is an arithmetic number, because the mean of its divisors is an integer number (34471206).

Almost surely, 2^6338487168 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 6338487168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11030785920).

6338487168 is an abundant number, since it is smaller than the sum of its proper divisors (15723084672).

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

6338487168 is a wasteful number, since it uses less digits than its factorization.

6338487168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 6338487168 is about 79614.6165474657. The cubic root of 6338487168 is about 1850.6680974372.

The spelling of 6338487168 in words is "six billion, three hundred thirty-eight million, four hundred eighty-seven thousand, one hundred sixty-eight".