6336648000 has 672 divisors, whose sum is σ = 24923179008. Its totient is φ = 1529856000.

The previous prime is 6336647957. The next prime is 6336648013. The reversal of 6336648000 is 8466336.

6336648000 is a `hidden beast` number, since 6 + 3 + 3 + 6 + 648 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 37943917 + ... + 37944083.

It is an arithmetic number, because the mean of its divisors is an integer number (37088064).

Almost surely, 2^6336648000 is an apocalyptic number.

6336648000 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 6336648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12461589504).

6336648000 is an abundant number, since it is smaller than the sum of its proper divisors (18586531008).

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

6336648000 is a wasteful number, since it uses less digits than its factorization.

6336648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 6336648000 is about 79603.0652676139. The cubic root of 6336648000 is about 1850.4890842273.

The spelling of 6336648000 in words is "six billion, three hundred thirty-six million, six hundred forty-eight thousand".