67042226677296 has 640 divisors, whose sum is σ = 198296692199424. Its totient is φ = 19363756769280.

The previous prime is 67042226677177. The next prime is 67042226677297. The reversal of 67042226677296 is 69277662224076.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (67042226677297) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 103620133645 + ... + 103620134291.

Almost surely, 2^{67042226677296} 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 67042226677296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99148346099712).

67042226677296 is an abundant number, since it is smaller than the sum of its proper divisors (131254465522128).

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

67042226677296 is a wasteful number, since it uses less digits than its factorization.

67042226677296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 66.

The spelling of 67042226677296 in words is "sixty-seven trillion, forty-two billion, two hundred twenty-six million, six hundred seventy-seven thousand, two hundred ninety-six".