67711408128 has 864 divisors, whose sum is σ = 251490657600. Its totient is φ = 17390370816.

The previous prime is 67711408097. The next prime is 67711408139. The reversal of 67711408128 is 82180411776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 857106393 + ... + 857106471.

It is an arithmetic number, because the mean of its divisors is an integer number (291077150).

Almost surely, 2^67711408128 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 67711408128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125745328800).

67711408128 is an abundant number, since it is smaller than the sum of its proper divisors (183779249472).

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

67711408128 is a wasteful number, since it uses less digits than its factorization.

67711408128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

67711408128 divided by its product of nonzero digits (150528) gives a triangular number (449826 = T₉₄₈).

The spelling of 67711408128 in words is "sixty-seven billion, seven hundred eleven million, four hundred eight thousand, one hundred twenty-eight".