67833825116288 has 192 divisors, whose sum is σ = 171509880595200. Its totient is φ = 26156297502720.

The previous prime is 67833825116237. The next prime is 67833825116341. The reversal of 67833825116288 is 88261152833876.

It is an unprimeable number.

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, 7291193 + ... + 13741511.

It is an arithmetic number, because the mean of its divisors is an integer number (893280628100).

Almost surely, 2^{67833825116288} 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 67833825116288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85754940297600).

67833825116288 is an abundant number, since it is smaller than the sum of its proper divisors (103676055478912).

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

67833825116288 is a wasteful number, since it uses less digits than its factorization.

67833825116288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6450459 (or 6450436 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 68.

The spelling of 67833825116288 in words is "sixty-seven trillion, eight hundred thirty-three billion, eight hundred twenty-five million, one hundred sixteen thousand, two hundred eighty-eight".