68838880968 has 448 divisors, whose sum is σ = 229052577600. Its totient is φ = 19112163840.

The previous prime is 68838880939. The next prime is 68838880973. The reversal of 68838880968 is 86908883886.

68838880968 is a `hidden beast` number, since 6 + 88 + 388 + 80 + 96 + 8 = 666.

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 = 68838880896 and 68838880905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 164293063 + ... + 164293481.

It is an arithmetic number, because the mean of its divisors is an integer number (511278075).

Almost surely, 2^68838880968 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 68838880968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114526288800).

68838880968 is an abundant number, since it is smaller than the sum of its proper divisors (160213696632).

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

68838880968 is a wasteful number, since it uses less digits than its factorization.

68838880968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 254803968, while the sum is 72.

The spelling of 68838880968 in words is "sixty-eight billion, eight hundred thirty-eight million, eight hundred eighty thousand, nine hundred sixty-eight".