6334774336 has 112 divisors (see below), whose sum is σ = 13940942400. Its totient is φ = 2832128000.

The previous prime is 6334774309. The next prime is 6334774337.

6334774336 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (6334774337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13741146 + ... + 13741606.

It is an arithmetic number, because the mean of its divisors is an integer number (124472700).

Almost surely, 2^6334774336 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 6334774336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6970471200).

6334774336 is an abundant number, since it is smaller than the sum of its proper divisors (7606168064).

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

6334774336 is a wasteful number, since it uses less digits than its factorization.

6334774336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 754 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 46.

The square root of 6334774336 is about 79591.2956044818. The cubic root of 6334774336 is about 1850.3066777684.

The spelling of 6334774336 in words is "six billion, three hundred thirty-four million, seven hundred seventy-four thousand, three hundred thirty-six".