68285842560 has 768 divisors, whose sum is σ = 266550480000. Its totient is φ = 16510500864.

The previous prime is 68285842531. The next prime is 68285842567. The reversal of 68285842560 is 6524858286.

It is a happy number.

68285842560 is a `hidden beast` number, since 6 + 8 + 2 + 8 + 584 + 2 + 56 + 0 = 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 = 68285842497 and 68285842506.

It is not an unprimeable number, because it can be changed into a prime (68285842567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195661266 + ... + 195661614.

Almost surely, 2^68285842560 is an apocalyptic number.

68285842560 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 68285842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133275240000).

68285842560 is an abundant number, since it is smaller than the sum of its proper divisors (198264637440).

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

68285842560 is a wasteful number, since it uses less digits than its factorization.

68285842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 439 counting only the distinct ones).

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

The spelling of 68285842560 in words is "sixty-eight billion, two hundred eighty-five million, eight hundred forty-two thousand, five hundred sixty".