67791028032 has 588 divisors, whose sum is σ = 252779828196. Its totient is φ = 17871114240.

The previous prime is 67791028021. The next prime is 67791028049. The reversal of 67791028032 is 23082019776.

It can be written as a sum of positive squares in 2 ways, for example, as 24253701696 + 43537326336 = 155736^2 + 208656^2 .

It is a tau number, because it is divible by the number of its divisors (588).

It is a congruent number.

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 83 ways as a sum of consecutive naturals, for example, 29718732 + ... + 29721012.

It is an arithmetic number, because the mean of its divisors is an integer number (429897667).

Almost surely, 2^67791028032 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 67791028032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126389914098).

67791028032 is an abundant number, since it is smaller than the sum of its proper divisors (184988800164).

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

67791028032 is a wasteful number, since it uses less digits than its factorization.

67791028032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 67791028032 in words is "sixty-seven billion, seven hundred ninety-one million, twenty-eight thousand, thirty-two".