6334368768 has 594 divisors, whose sum is σ = 23316664644. Its totient is φ = 1650475008.

The previous prime is 6334368767. The next prime is 6334368769. The reversal of 6334368768 is 8678634336.

It is an interprime number because it is at equal distance from previous prime (6334368767) and next prime (6334368769).

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

Its product of digits (10450944) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (6334368763) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 76317655 + ... + 76317737.

Almost surely, 2^6334368768 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 6334368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11658332322).

6334368768 is an abundant number, since it is smaller than the sum of its proper divisors (16982295876).

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

6334368768 is a wasteful number, since it uses less digits than its factorization.

6334368768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 108 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The square root of 6334368768 is about 79588.7477474046. The cubic root of 6334368768 is about 1850.2671898480.

The spelling of 6334368768 in words is "six billion, three hundred thirty-four million, three hundred sixty-eight thousand, seven hundred sixty-eight".