6688120320 has 640 divisors, whose sum is σ = 28378183680. Its totient is φ = 1459814400.

The previous prime is 6688120303. The next prime is 6688120363. The reversal of 6688120320 is 230218866.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11128020 + ... + 11128620.

It is an arithmetic number, because the mean of its divisors is an integer number (44340912).

Almost surely, 2^6688120320 is an apocalyptic number.

6688120320 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 6688120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14189091840).

6688120320 is an abundant number, since it is smaller than the sum of its proper divisors (21690063360).

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

6688120320 is a wasteful number, since it uses less digits than its factorization.

6688120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6688120320 is about 81780.9288281810. The cubic root of 6688120320 is about 1884.0887620966.

The spelling of 6688120320 in words is "six billion, six hundred eighty-eight million, one hundred twenty thousand, three hundred twenty".