6724128768 has 104 divisors (see below), whose sum is σ = 20490343488. Its totient is φ = 1921155072.

The previous prime is 6724128767. The next prime is 6724128839. The reversal of 6724128768 is 8678214276.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6724128768.

It is not an unprimeable number, because it can be changed into a prime (6724128767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46930 + ... + 125102.

Almost surely, 2^6724128768 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 6724128768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10245171744).

6724128768 is an abundant number, since it is smaller than the sum of its proper divisors (13766214720).

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

6724128768 is an equidigital number, since it uses as much as digits as its factorization.

6724128768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78207 (or 78185 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 6724128768 is about 82000.7851669726. The cubic root of 6724128768 is about 1887.4639864947.

The spelling of 6724128768 in words is "six billion, seven hundred twenty-four million, one hundred twenty-eight thousand, seven hundred sixty-eight".