67681673145873 has 48 divisors (see below), whose sum is σ = 106687847972160. Its totient is φ = 41201271820800.

The previous prime is 67681673145769. The next prime is 67681673145883. The reversal of 67681673145873 is 37854137618676.

67681673145873 is a `hidden beast` number, since 6 + 7 + 6 + 8 + 1 + 6 + 7 + 31 + 4 + 587 + 3 = 666.

It is not a de Polignac number, because 67681673145873 - 2¹⁰ = 67681673144849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (67681673145883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57572548 + ... + 58736373.

It is an arithmetic number, because the mean of its divisors is an integer number (2222663499420).

Almost surely, 2^{67681673145873} is an apocalyptic number.

It is an amenable number.

67681673145873 is a deficient number, since it is larger than the sum of its proper divisors (39006174826287).

67681673145873 is a wasteful number, since it uses less digits than its factorization.

67681673145873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116309070 (or 116309067 counting only the distinct ones).

The product of its digits is 853493760, while the sum is 72.

The spelling of 67681673145873 in words is "sixty-seven trillion, six hundred eighty-one billion, six hundred seventy-three million, one hundred forty-five thousand, eight hundred seventy-three".