68205846528 has 336 divisors, whose sum is σ = 208957956480. Its totient is φ = 22251552768.

The previous prime is 68205846479. The next prime is 68205846539. The reversal of 68205846528 is 82564850286.

It is a happy number.

68205846528 is a `hidden beast` number, since 6 + 8 + 2 + 0 + 584 + 6 + 52 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1451188201 + ... + 1451188247.

It is an arithmetic number, because the mean of its divisors is an integer number (621898680).

Almost surely, 2^68205846528 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 68205846528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104478978240).

68205846528 is an abundant number, since it is smaller than the sum of its proper divisors (140752109952).

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

68205846528 is an frugal number, since it uses more digits than its factorization.

68205846528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 68205846528 in words is "sixty-eight billion, two hundred five million, eight hundred forty-six thousand, five hundred twenty-eight".