2068617977712 has 480 divisors, whose sum is σ = 7072598158080. Its totient is φ = 577048872960.

The previous prime is 2068617977677. The next prime is 2068617977717. The reversal of 2068617977712 is 2177797168602.

2068617977712 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 617 + 9 + 7 + 7 + 7 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2068617977712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2068617977717) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 210713028 + ... + 210722844.

It is an arithmetic number, because the mean of its divisors is an integer number (14734579496).

Almost surely, 2^{2068617977712} is an apocalyptic number.

2068617977712 is a gapful number since it is divisible by the number (22) 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 2068617977712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536299079040).

2068617977712 is an abundant number, since it is smaller than the sum of its proper divisors (5003980180368).

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

2068617977712 is a wasteful number, since it uses less digits than its factorization.

2068617977712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10243 (or 10225 counting only the distinct ones).

The product of its (nonzero) digits is 24893568, while the sum is 63.

The spelling of 2068617977712 in words is "two trillion, sixty-eight billion, six hundred seventeen million, nine hundred seventy-seven thousand, seven hundred twelve".