6765126720 has 224 divisors, whose sum is σ = 23513832576. Its totient is φ = 1634304000.

The previous prime is 6765126707. The next prime is 6765126721. The reversal of 6765126720 is 276215676.

It is not an unprimeable number, because it can be changed into a prime (6765126721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3557770 + ... + 3559670.

Almost surely, 2^6765126720 is an apocalyptic number.

6765126720 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 6765126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11756916288).

6765126720 is an abundant number, since it is smaller than the sum of its proper divisors (16748705856).

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

6765126720 is a wasteful number, since it uses less digits than its factorization.

6765126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 6765126720 is about 82250.3903942103. The cubic root of 6765126720 is about 1891.2922603231.

The spelling of 6765126720 in words is "six billion, seven hundred sixty-five million, one hundred twenty-six thousand, seven hundred twenty".