6755285120 has 128 divisors (see below), whose sum is σ = 16433118000. Its totient is φ = 2655059968.

The previous prime is 6755285083. The next prime is 6755285149. The reversal of 6755285120 is 215825576.

It can be written as a sum of positive squares in 8 ways, for example, as 1898867776 + 4856417344 = 43576^2 + 69688^2 .

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 13271426 + ... + 13271934.

Almost surely, 2^6755285120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6755285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8216559000).

6755285120 is an abundant number, since it is smaller than the sum of its proper divisors (9677832880).

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

6755285120 is a wasteful number, since it uses less digits than its factorization.

6755285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 41.

The square root of 6755285120 is about 82190.5415482828. The cubic root of 6755285120 is about 1890.3746931224.

The spelling of 6755285120 in words is "six billion, seven hundred fifty-five million, two hundred eighty-five thousand, one hundred twenty".