68291436960 has 192 divisors, whose sum is σ = 241972133760. Its totient is φ = 18210956544.

The previous prime is 68291436947. The next prime is 68291436971. The reversal of 68291436960 is 6963419286.

68291436960 is a `hidden beast` number, since 68 + 2 + 91 + 436 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 68291436897 and 68291436906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252339 + ... + 447501.

It is an arithmetic number, because the mean of its divisors is an integer number (1260271530).

Almost surely, 2^68291436960 is an apocalyptic number.

68291436960 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 68291436960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120986066880).

68291436960 is an abundant number, since it is smaller than the sum of its proper divisors (173680696800).

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

68291436960 is an equidigital number, since it uses as much as digits as its factorization.

68291436960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195199 (or 195173 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 68291436960 in words is "sixty-eight billion, two hundred ninety-one million, four hundred thirty-six thousand, nine hundred sixty".