67121067258 has 512 divisors, whose sum is σ = 194925035520. Its totient is φ = 16682941440.

The previous prime is 67121067257. The next prime is 67121067281. The reversal of 67121067258 is 85276012176.

It is not an unprimeable number, because it can be changed into a prime (67121067257) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 627299641 + ... + 627299747.

It is an arithmetic number, because the mean of its divisors is an integer number (380712960).

Almost surely, 2^67121067258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67121067258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97462517760).

67121067258 is an abundant number, since it is smaller than the sum of its proper divisors (127803968262).

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

67121067258 is a wasteful number, since it uses less digits than its factorization.

67121067258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 67121067258 in words is "sixty-seven billion, one hundred twenty-one million, sixty-seven thousand, two hundred fifty-eight".