6332256000 has 720 divisors, whose sum is σ = 27007780800. Its totient is φ = 1443225600.

The previous prime is 6332255959. The next prime is 6332256011. The reversal of 6332256000 is 6522336.

6332256000 is a `hidden beast` number, since 6 + 3 + 32 + 25 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 18143826 + ... + 18144174.

Almost surely, 2^6332256000 is an apocalyptic number.

6332256000 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 6332256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13503890400).

6332256000 is an abundant number, since it is smaller than the sum of its proper divisors (20675524800).

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

6332256000 is an equidigital number, since it uses as much as digits as its factorization.

6332256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 6332256000 is about 79575.4736083927. The cubic root of 6332256000 is about 1850.0614540092.

Adding to 6332256000 its reverse (6522336), we get a palindrome (6338778336).

The spelling of 6332256000 in words is "six billion, three hundred thirty-two million, two hundred fifty-six thousand".