67411317688 has 192 divisors, whose sum is σ = 156865605120. Its totient is φ = 26926352640.

The previous prime is 67411317667. The next prime is 67411317697. The reversal of 67411317688 is 88671311476.

It is a happy number.

67411317688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81908845 + ... + 81909667.

It is an arithmetic number, because the mean of its divisors is an integer number (817008360).

Almost surely, 2^67411317688 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 67411317688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78432802560).

67411317688 is an abundant number, since it is smaller than the sum of its proper divisors (89454287432).

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

67411317688 is a wasteful number, since it uses less digits than its factorization.

67411317688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1155 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 52.

The spelling of 67411317688 in words is "sixty-seven billion, four hundred eleven million, three hundred seventeen thousand, six hundred eighty-eight".