6334400226 has 288 divisors, whose sum is σ = 17758533312. Its totient is φ = 1484206080.

The previous prime is 6334400183. The next prime is 6334400239. The reversal of 6334400226 is 6220044336.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6334400193 and 6334400202.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46236430 + ... + 46236566.

It is an arithmetic number, because the mean of its divisors is an integer number (61661574).

Almost surely, 2^6334400226 is an apocalyptic number.

6334400226 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6334400226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8879266656).

6334400226 is an abundant number, since it is smaller than the sum of its proper divisors (11424133086).

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

6334400226 is a wasteful number, since it uses less digits than its factorization.

6334400226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 6334400226 is about 79588.9453755985. The cubic root of 6334400226 is about 1850.2702528003.

The spelling of 6334400226 in words is "six billion, three hundred thirty-four million, four hundred thousand, two hundred twenty-six".