68968482766848 has 768 divisors, whose sum is σ = 238019160637440. Its totient is φ = 19548114518016.

The previous prime is 68968482766831. The next prime is 68968482766849. The reversal of 68968482766848 is 84866728486986.

68968482766848 is a `hidden beast` number, since 6 + 8 + 9 + 68 + 482 + 7 + 6 + 68 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×68968482766848² (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (68968482766849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7078767865 + ... + 7078777607.

It is an arithmetic number, because the mean of its divisors is an integer number (309920782080).

Almost surely, 2^{68968482766848} 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 68968482766848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119009580318720).

68968482766848 is an abundant number, since it is smaller than the sum of its proper divisors (169050677870592).

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

68968482766848 is an frugal number, since it uses more digits than its factorization.

68968482766848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9922 (or 9882 counting only the distinct ones).

The product of its digits is 85614133248, while the sum is 90.

The spelling of 68968482766848 in words is "sixty-eight trillion, nine hundred sixty-eight billion, four hundred eighty-two million, seven hundred sixty-six thousand, eight hundred forty-eight".