67164393681 has 24 divisors (see below), whose sum is σ = 120954060864. Its totient is φ = 34890593760.

The previous prime is 67164393643. The next prime is 67164393719. The reversal of 67164393681 is 18639346176.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (67164393643) and next prime (67164393719).

It is not a de Polignac number, because 67164393681 - 2¹¹ = 67164391633 is a prime.

It is a super-2 number, since 2×67164393681² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67164393631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48458466 + ... + 48459851.

It is an arithmetic number, because the mean of its divisors is an integer number (5039752536).

Almost surely, 2^67164393681 is an apocalyptic number.

It is an amenable number.

67164393681 is a deficient number, since it is larger than the sum of its proper divisors (53789667183).

67164393681 is a wasteful number, since it uses less digits than its factorization.

67164393681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96918341 (or 96918338 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 67164393681 in words is "sixty-seven billion, one hundred sixty-four million, three hundred ninety-three thousand, six hundred eighty-one".