67577972212242 has 24 divisors (see below), whose sum is σ = 146472202519500. Its totient is φ = 22517796471840.

The previous prime is 67577972212241. The next prime is 67577972212279. The reversal of 67577972212242 is 24221227977576.

67577972212242 is a `hidden beast` number, since 6 + 7 + 577 + 9 + 7 + 2 + 2 + 12 + 2 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49493884265721 + 18084087946521 = 7035189^2 + 4252539^2 .

It is a super-2 number, since 2×67577972212242² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 67577972212242.

It is not an unprimeable number, because it can be changed into a prime (67577972212241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 682804609 + ... + 682903572.

Almost surely, 2^{67577972212242} is an apocalyptic number.

67577972212242 is an abundant number, since it is smaller than the sum of its proper divisors (78894230307258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67577972212242 is a wasteful number, since it uses less digits than its factorization.

67577972212242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365710938 (or 1365710935 counting only the distinct ones).

The product of its digits is 82978560, while the sum is 63.

The spelling of 67577972212242 in words is "sixty-seven trillion, five hundred seventy-seven billion, nine hundred seventy-two million, two hundred twelve thousand, two hundred forty-two".