67302368329 has 9 divisors (see below), whose sum is σ = 78292622631. Its totient is φ = 57686187720.

The previous prime is 67302368269. The next prime is 67302368369. The reversal of 67302368329 is 92386320376.

It is a happy number.

The square root of 67302368329 is 259427.

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., 60502716729 + 6799651600 = 245973^2 + 82460^2 .

It is not a de Polignac number, because 67302368329 - 2¹⁵ = 67302335561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67302368369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1797459 + ... + 1834519.

Almost surely, 2^67302368329 is an apocalyptic number.

67302368329 is the 259427-th square number.

67302368329 is the 129714-th centered octagonal number.

It is an amenable number.

67302368329 is a deficient number, since it is larger than the sum of its proper divisors (10990254302).

67302368329 is an frugal number, since it uses more digits than its factorization.

67302368329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74136 (or 37068 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 49.

Multiplying 67302368329 by its sum of digits (49), we get a square (3297816048121 = 1815989²).

67302368329 divided by its sum of digits (49) gives a square (1373517721 = 37061²).

The spelling of 67302368329 in words is "sixty-seven billion, three hundred two million, three hundred sixty-eight thousand, three hundred twenty-nine".