6728618801160 has 768 divisors, whose sum is σ = 23824723104000. Its totient is φ = 1641561292800.

The previous prime is 6728618801147. The next prime is 6728618801161. The reversal of 6728618801160 is 611088168276.

It is a happy number.

6728618801160 is a `hidden beast` number, since 6 + 7 + 2 + 8 + 618 + 8 + 0 + 1 + 16 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6728618801097 and 6728618801106.

It is not an unprimeable number, because it can be changed into a prime (6728618801161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11195704860 + ... + 11195705460.

It is an arithmetic number, because the mean of its divisors is an integer number (31021774875).

Almost surely, 2^{6728618801160} is an apocalyptic number.

6728618801160 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 6728618801160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11912361552000).

6728618801160 is an abundant number, since it is smaller than the sum of its proper divisors (17096104302840).

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

6728618801160 is a wasteful number, since it uses less digits than its factorization.

6728618801160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 6728618801160 in words is "six trillion, seven hundred twenty-eight billion, six hundred eighteen million, eight hundred one thousand, one hundred sixty".