67959166968 has 256 divisors, whose sum is σ = 237308544000. Its totient is φ = 17651208960.

The previous prime is 67959166963. The next prime is 67959166973. The reversal of 67959166968 is 86966195976.

It is an interprime number because it is at equal distance from previous prime (67959166963) and next prime (67959166973).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 67959166896 and 67959166905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67959166963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1995588 + ... + 2029356.

It is an arithmetic number, because the mean of its divisors is an integer number (926986500).

Almost surely, 2^67959166968 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 67959166968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118654272000).

67959166968 is an abundant number, since it is smaller than the sum of its proper divisors (169349377032).

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

67959166968 is a wasteful number, since it uses less digits than its factorization.

67959166968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33824 (or 33792 counting only the distinct ones).

The product of its digits is 264539520, while the sum is 72.

The spelling of 67959166968 in words is "sixty-seven billion, nine hundred fifty-nine million, one hundred sixty-six thousand, nine hundred sixty-eight".