6688224000 has 288 divisors, whose sum is σ = 24686450880. Its totient is φ = 1783296000.

The previous prime is 6688223947. The next prime is 6688224017. The reversal of 6688224000 is 4228866.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 860130 + ... + 867870.

Almost surely, 2^6688224000 is an apocalyptic number.

6688224000 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 6688224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12343225440).

6688224000 is an abundant number, since it is smaller than the sum of its proper divisors (17998226880).

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

6688224000 is an equidigital number, since it uses as much as digits as its factorization.

6688224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7781 (or 7751 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6688224000 is about 81781.5627143429. The cubic root of 6688224000 is about 1884.0984978322.

The spelling of 6688224000 in words is "six billion, six hundred eighty-eight million, two hundred twenty-four thousand".