67172442561 has 32 divisors (see below), whose sum is σ = 116376043520. Its totient is φ = 37491591312.

The previous prime is 67172442553. The next prime is 67172442587. The reversal of 67172442561 is 16524427176.

67172442561 is a `hidden beast` number, since 67 + 1 + 7 + 24 + 4 + 2 + 561 = 666.

It is not a de Polignac number, because 67172442561 - 2³ = 67172442553 is a prime.

It is a super-2 number, since 2×67172442561² (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 (67172442541) 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 31 ways as a sum of consecutive naturals, for example, 4124545 + ... + 4140798.

It is an arithmetic number, because the mean of its divisors is an integer number (3636751360).

Almost surely, 2^67172442561 is an apocalyptic number.

It is an amenable number.

67172442561 is a deficient number, since it is larger than the sum of its proper divisors (49203600959).

67172442561 is a wasteful number, since it uses less digits than its factorization.

67172442561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8265402 (or 8265396 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 67172442561 in words is "sixty-seven billion, one hundred seventy-two million, four hundred forty-two thousand, five hundred sixty-one".