6338120000 has 140 divisors (see below), whose sum is σ = 15817152516. Its totient is φ = 2519040000.

The previous prime is 6338119981. The next prime is 6338120011. The reversal of 6338120000 is 218336.

It can be written as a sum of positive squares in 10 ways, for example, as 5954900224 + 383219776 = 77168^2 + 19576^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7719590 + ... + 7720410.

Almost surely, 2^6338120000 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 6338120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7908576258).

6338120000 is an abundant number, since it is smaller than the sum of its proper divisors (9479032516).

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

6338120000 is an equidigital number, since it uses as much as digits as its factorization.

6338120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 6338120000 is about 79612.3106058353. The cubic root of 6338120000 is about 1850.6323623473.

Adding to 6338120000 its reverse (218336), we get a palindrome (6338338336).

The spelling of 6338120000 in words is "six billion, three hundred thirty-eight million, one hundred twenty thousand".