6338040000 has 140 divisors (see below), whose sum is σ = 20955435864. Its totient is φ = 1690112000.

The previous prime is 6338039957. The next prime is 6338040001. The reversal of 6338040000 is 408336.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (6338040001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 93592 + ... + 146408.

Almost surely, 2^6338040000 is an apocalyptic number.

6338040000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6338040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10477717932).

6338040000 is an abundant number, since it is smaller than the sum of its proper divisors (14617395864).

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

6338040000 is an equidigital number, since it uses as much as digits as its factorization.

6338040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52852 (or 52827 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 6338040000 is about 79611.8081693916. The cubic root of 6338040000 is about 1850.6245760631.

Adding to 6338040000 its reverse (408336), we get a palindrome (6338448336).

The spelling of 6338040000 in words is "six billion, three hundred thirty-eight million, forty thousand".