6751727332240 has 120 divisors (see below), whose sum is σ = 17273007191160. Its totient is φ = 2452550031360.

The previous prime is 6751727332237. The next prime is 6751727332291. The reversal of 6751727332240 is 422337271576.

It can be written as a sum of positive squares in 4 ways, for example, as 626801296 + 6751100530944 = 25036^2 + 2598288^2 .

It is a super-3 number, since 3×6751727332240³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8697966 + ... + 9442354.

It is an arithmetic number, because the mean of its divisors is an integer number (143941726593).

Almost surely, 2^{6751727332240} 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 6751727332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8636503595580).

6751727332240 is an abundant number, since it is smaller than the sum of its proper divisors (10521279858920).

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

6751727332240 is a wasteful number, since it uses less digits than its factorization.

6751727332240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745361 (or 745344 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 49.

The spelling of 6751727332240 in words is "six trillion, seven hundred fifty-one billion, seven hundred twenty-seven million, three hundred thirty-two thousand, two hundred forty".