67382295561 has 81 divisors (see below), whose sum is σ = 116122318221. Its totient is φ = 37541642544.

The previous prime is 67382295559. The next prime is 67382295569. The reversal of 67382295561 is 16559228376.

The square root of 67382295561 is 259581.

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

67382295561 is a `hidden beast` number, since 6 + 7 + 3 + 82 + 2 + 9 + 556 + 1 = 666.

It is not a de Polignac number, because 67382295561 - 2¹ = 67382295559 is a prime.

Its product of digits (5443200) is a multiple of the sum of its prime divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 67382295498 and 67382295507.

It is not an unprimeable number, because it can be changed into a prime (67382295569) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 256206316 + ... + 256206578.

Almost surely, 2^67382295561 is an apocalyptic number.

67382295561 is the 259581-st square number.

67382295561 is the 129791-st centered octagonal number.

It is an amenable number.

67382295561 is a deficient number, since it is larger than the sum of its proper divisors (48740022660).

67382295561 is an equidigital number, since it uses as much as digits as its factorization.

67382295561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 320 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 67382295561 in words is "sixty-seven billion, three hundred eighty-two million, two hundred ninety-five thousand, five hundred sixty-one".