67966808832 has 288 divisors, whose sum is σ = 217069529600. Its totient is φ = 20853116928.

The previous prime is 67966808813. The next prime is 67966808839. The reversal of 67966808832 is 23880866976.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 67966808832.

It is not an unprimeable number, because it can be changed into a prime (67966808839) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39445923 + ... + 39447645.

Almost surely, 2^67966808832 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 67966808832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108534764800).

67966808832 is an abundant number, since it is smaller than the sum of its proper divisors (149102720768).

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

67966808832 is a wasteful number, since it uses less digits than its factorization.

67966808832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 67966808832 in words is "sixty-seven billion, nine hundred sixty-six million, eight hundred eight thousand, eight hundred thirty-two".