67273315641 has 135 divisors (see below), whose sum is σ = 122892215061. Its totient is φ = 36565086096.

The previous prime is 67273315621. The next prime is 67273315643. The reversal of 67273315641 is 14651337276.

The square root of 67273315641 is 259371.

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

67273315641 is a `hidden beast` number, since 6 + 7 + 273 + 315 + 64 + 1 = 666.

It is not a de Polignac number, because 67273315641 - 2²¹ = 67271218489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (67273315643) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 375828490 + ... + 375828668.

Almost surely, 2^67273315641 is an apocalyptic number.

67273315641 is the 259371-st square number.

67273315641 is the 129686-th centered octagonal number.

It is an amenable number.

67273315641 is a deficient number, since it is larger than the sum of its proper divisors (55618899420).

67273315641 is an equidigital number, since it uses as much as digits as its factorization.

67273315641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 212 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The spelling of 67273315641 in words is "sixty-seven billion, two hundred seventy-three million, three hundred fifteen thousand, six hundred forty-one".