68509593360 has 240 divisors, whose sum is σ = 262352052144. Its totient is φ = 15871868928.

The previous prime is 68509593323. The next prime is 68509593371. The reversal of 68509593360 is 6339590586.

68509593360 is a `hidden beast` number, since 68 + 50 + 95 + 93 + 360 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2001309696 + 66508283664 = 44736^2 + 257892^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 68509593297 and 68509593306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56157 + ... + 374396.

Almost surely, 2^68509593360 is an apocalyptic number.

68509593360 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 68509593360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131176026072).

68509593360 is an abundant number, since it is smaller than the sum of its proper divisors (193842458784).

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

68509593360 is a wasteful number, since it uses less digits than its factorization.

68509593360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430602 (or 430593 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 68509593360 in words is "sixty-eight billion, five hundred nine million, five hundred ninety-three thousand, three hundred sixty".