6648336000 has 384 divisors, whose sum is σ = 24121478160. Its totient is φ = 1754726400.

The previous prime is 6648335983. The next prime is 6648336011. The reversal of 6648336000 is 6338466.

6648336000 is a `hidden beast` number, since 6 + 6 + 48 + 3 + 3 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 71774784 + 6576561216 = 8472^2 + 81096^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 19727832 + ... + 19728168.

Almost surely, 2^6648336000 is an apocalyptic number.

6648336000 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 6648336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12060739080).

6648336000 is an abundant number, since it is smaller than the sum of its proper divisors (17473142160).

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

6648336000 is a wasteful number, since it uses less digits than its factorization.

6648336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 484 counting only the distinct ones).

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

The square root of 6648336000 is about 81537.3288745713. The cubic root of 6648336000 is about 1880.3454925626.

The spelling of 6648336000 in words is "six billion, six hundred forty-eight million, three hundred thirty-six thousand".