67329475346116 has 81 divisors (see below), whose sum is σ = 125150110472583. Its totient is φ = 31690119784320.

The previous prime is 67329475346071. The next prime is 67329475346123. The reversal of 67329475346116 is 61164357492376.

It is a happy number.

The square root of 67329475346116 is 8205454.

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 25741112544900 + 41588362801216 = 5073570^2 + 6448904^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 56437112016 + ... + 56437113208.

Almost surely, 2^{67329475346116} is an apocalyptic number.

67329475346116 is the 8205454-th square number.

It is an amenable number.

67329475346116 is a deficient number, since it is larger than the sum of its proper divisors (57820635126467).

67329475346116 is an equidigital number, since it uses as much as digits as its factorization.

67329475346116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 1395 counting only the distinct ones).

The product of its digits is 137168640, while the sum is 64.

The spelling of 67329475346116 in words is "sixty-seven trillion, three hundred twenty-nine billion, four hundred seventy-five million, three hundred forty-six thousand, one hundred sixteen".