67125822336 has 192 divisors, whose sum is σ = 201382272000. Its totient is φ = 22256156160.

The previous prime is 67125822331. The next prime is 67125822353. The reversal of 67125822336 is 63322852176.

67125822336 is a `hidden beast` number, since 6 + 7 + 12 + 582 + 23 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 67125822291 and 67125822300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67125822331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5935215 + ... + 5946513.

It is an arithmetic number, because the mean of its divisors is an integer number (1048866000).

Almost surely, 2^67125822336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67125822336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100691136000).

67125822336 is an abundant number, since it is smaller than the sum of its proper divisors (134256449664).

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

67125822336 is a wasteful number, since it uses less digits than its factorization.

67125822336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11519 (or 11495 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 67125822336 in words is "sixty-seven billion, one hundred twenty-five million, eight hundred twenty-two thousand, three hundred thirty-six".