6338842272 has 360 divisors, whose sum is σ = 22446838260. Its totient is φ = 1747630080.

The previous prime is 6338842261. The next prime is 6338842313. The reversal of 6338842272 is 2722488336.

6338842272 is a `hidden beast` number, since 6 + 338 + 8 + 42 + 272 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6221423376 + 117418896 = 78876^2 + 10836^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3682372 + ... + 3684092.

Almost surely, 2^6338842272 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 6338842272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11223419130).

6338842272 is an abundant number, since it is smaller than the sum of its proper divisors (16107995988).

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

6338842272 is a wasteful number, since it uses less digits than its factorization.

6338842272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1762 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 6338842272 is about 79616.8466594853. The cubic root of 6338842272 is about 1850.7026570702.

The spelling of 6338842272 in words is "six billion, three hundred thirty-eight million, eight hundred forty-two thousand, two hundred seventy-two".