67886365680 has 960 divisors, whose sum is σ = 282385259520. Its totient is φ = 14834368512.

The previous prime is 67886365663. The next prime is 67886365681. The reversal of 67886365680 is 8656368876.

67886365680 is a `hidden beast` number, since 6 + 7 + 8 + 8 + 63 + 6 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67886365681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 488391051 + ... + 488391189.

It is an arithmetic number, because the mean of its divisors is an integer number (294151312).

Almost surely, 2^67886365680 is an apocalyptic number.

67886365680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67886365680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141192629760).

67886365680 is an abundant number, since it is smaller than the sum of its proper divisors (214498893840).

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

67886365680 is a wasteful number, since it uses less digits than its factorization.

67886365680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 67886365680 in words is "sixty-seven billion, eight hundred eighty-six million, three hundred sixty-five thousand, six hundred eighty".