67724337121 has 45 divisors (see below), whose sum is σ = 81444483731. Its totient is φ = 56311555776.

The previous prime is 67724337073. The next prime is 67724337169. The reversal of 67724337121 is 12173342776.

The square root of 67724337121 is 260239.

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

It is an interprime number because it is at equal distance from previous prime (67724337073) and next prime (67724337169).

It can be written as a sum of positive squares in only one way, i.e., 1193357025 + 66530980096 = 34545^2 + 257936^2 .

It is not a de Polignac number, because 67724337121 - 2¹³ = 67724328929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67724337521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 599330361 + ... + 599330473.

Almost surely, 2^67724337121 is an apocalyptic number.

67724337121 is the 260239-th square number.

67724337121 is the 130120-th centered octagonal number.

It is an amenable number.

67724337121 is a deficient number, since it is larger than the sum of its proper divisors (13720146610).

67724337121 is an frugal number, since it uses more digits than its factorization.

67724337121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 167 counting only the distinct ones).

The product of its digits is 296352, while the sum is 43.

Adding to 67724337121 its reverse (12173342776), we get a palindrome (79897679897).

The spelling of 67724337121 in words is "sixty-seven billion, seven hundred twenty-four million, three hundred thirty-seven thousand, one hundred twenty-one".