67576082112 has 896 divisors, whose sum is σ = 260538163200. Its totient is φ = 16663449600.

The previous prime is 67576082071. The next prime is 67576082117. The reversal of 67576082112 is 21128067576.

67576082112 is a `hidden beast` number, since 6 + 7 + 5 + 7 + 608 + 21 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (67576082117) 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, 320265687 + ... + 320265897.

It is an arithmetic number, because the mean of its divisors is an integer number (290779200).

Almost surely, 2^67576082112 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 67576082112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130269081600).

67576082112 is an abundant number, since it is smaller than the sum of its proper divisors (192962081088).

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

67576082112 is a wasteful number, since it uses less digits than its factorization.

67576082112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 346 counting only the distinct ones).

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

The spelling of 67576082112 in words is "sixty-seven billion, five hundred seventy-six million, eighty-two thousand, one hundred twelve".