67932688321 has 9 divisors (see below), whose sum is σ = 68665800099. Its totient is φ = 67207329984.

The previous prime is 67932688319. The next prime is 67932688339. The reversal of 67932688321 is 12388623976.

The square root of 67932688321 is 260639.

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

It can be written as a sum of positive squares in only one way, i.e., 30504369025 + 37428319296 = 174655^2 + 193464^2 .

It is not a de Polignac number, because 67932688321 - 2¹ = 67932688319 is a prime.

It is a super-2 number, since 2×67932688321² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67932688391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25280640 + ... + 25283326.

Almost surely, 2^67932688321 is an apocalyptic number.

67932688321 is the 260639-th square number.

67932688321 is the 130320-th centered octagonal number.

It is an amenable number.

67932688321 is a deficient number, since it is larger than the sum of its proper divisors (733111778).

67932688321 is an frugal number, since it uses more digits than its factorization.

67932688321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5568 (or 2784 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 55.

The spelling of 67932688321 in words is "sixty-seven billion, nine hundred thirty-two million, six hundred eighty-eight thousand, three hundred twenty-one".