6323256000 has 336 divisors, whose sum is σ = 23357238528. Its totient is φ = 1631232000.

The previous prime is 6323255971. The next prime is 6323256041. The reversal of 6323256000 is 6523236.

6323256000 is a `hidden beast` number, since 6 + 32 + 3 + 25 + 600 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2230584 + ... + 2233416.

Almost surely, 2^6323256000 is an apocalyptic number.

6323256000 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 6323256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11678619264).

6323256000 is an abundant number, since it is smaller than the sum of its proper divisors (17033982528).

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

6323256000 is a wasteful number, since it uses less digits than its factorization.

6323256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897 (or 2874 counting only the distinct ones).

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

The square root of 6323256000 is about 79518.9034129621. The cubic root of 6323256000 is about 1849.1845444335.

Adding to 6323256000 its reverse (6523236), we get a palindrome (6329779236).

The spelling of 6323256000 in words is "six billion, three hundred twenty-three million, two hundred fifty-six thousand".