67728501009 has 27 divisors (see below), whose sum is σ = 105950199537. Its totient is φ = 41672831616.

The previous prime is 67728500989. The next prime is 67728501053. The reversal of 67728501009 is 90010582776.

The square root of 67728501009 is 260247.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 47044308609 + 20684192400 = 216897^2 + 143820^2 .

It is not a de Polignac number, because 67728501009 - 2²³ = 67720112401 is a prime.

It is a super-2 number, since 2×67728501009² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67728501079) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10146297 + ... + 10152969.

Almost surely, 2^67728501009 is an apocalyptic number.

67728501009 is the 260247-th square number.

67728501009 is the 130124-th centered octagonal number.

It is an amenable number.

67728501009 is a deficient number, since it is larger than the sum of its proper divisors (38221698528).

67728501009 is an frugal number, since it uses more digits than its factorization.

67728501009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13378 (or 6689 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 67728501009 in words is "sixty-seven billion, seven hundred twenty-eight million, five hundred one thousand, nine".