67889089968 has 160 divisors (see below), whose sum is σ = 206092761600. Its totient is φ = 19248203520.

The previous prime is 67889089927. The next prime is 67889090053. The reversal of 67889089968 is 86998098876.

67889089968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 67889089893 and 67889089902.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2141046 + ... + 2172522.

It is an arithmetic number, because the mean of its divisors is an integer number (1288079760).

Almost surely, 2^67889089968 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 67889089968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103046380800).

67889089968 is an abundant number, since it is smaller than the sum of its proper divisors (138203671632).

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

67889089968 is a wasteful number, since it uses less digits than its factorization.

67889089968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31640 (or 31620 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 78.

The spelling of 67889089968 in words is "sixty-seven billion, eight hundred eighty-nine million, eighty-nine thousand, nine hundred sixty-eight".