68011788960 has 288 divisors, whose sum is σ = 248316606720. Its totient is φ = 16899840000.

The previous prime is 68011788937. The next prime is 68011788989. The reversal of 68011788960 is 6988711086.

68011788960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 68011788897 and 68011788906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1648585 + ... + 1689335.

It is an arithmetic number, because the mean of its divisors is an integer number (862210440).

Almost surely, 2^68011788960 is an apocalyptic number.

68011788960 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 68011788960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124158303360).

68011788960 is an abundant number, since it is smaller than the sum of its proper divisors (180304817760).

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

68011788960 is a wasteful number, since it uses less digits than its factorization.

68011788960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40852 (or 40841 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 68011788960 in words is "sixty-eight billion, eleven million, seven hundred eighty-eight thousand, nine hundred sixty".