6341328000 has 768 divisors, whose sum is σ = 27106410240. Its totient is φ = 1443225600.

The previous prime is 6341327963. The next prime is 6341328013. The reversal of 6341328000 is 8231436.

It is a happy number.

6341328000 is a `hidden beast` number, since 634 + 1 + 3 + 28 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27215884 + ... + 27216116.

It is an arithmetic number, because the mean of its divisors is an integer number (35294805).

Almost surely, 2^6341328000 is an apocalyptic number.

6341328000 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 6341328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13553205120).

6341328000 is an abundant number, since it is smaller than the sum of its proper divisors (20765082240).

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

6341328000 is an equidigital number, since it uses as much as digits as its factorization.

6341328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6341328000 is about 79632.4556948987. The cubic root of 6341328000 is about 1850.9445383696.

Adding to 6341328000 its reverse (8231436), we get a palindrome (6349559436).

The spelling of 6341328000 in words is "six billion, three hundred forty-one million, three hundred twenty-eight thousand".