2068406147808 has 864 divisors, whose sum is σ = 8235455784192. Its totient is φ = 495897292800.

The previous prime is 2068406147803. The next prime is 2068406147827. The reversal of 2068406147808 is 8087416048602.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2068406147803) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 101178868 + ... + 101199308.

It is an arithmetic number, because the mean of its divisors is an integer number (9531777528).

Almost surely, 2^{2068406147808} is an apocalyptic number.

2068406147808 is a gapful number since it is divisible by the number (28) 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 2068406147808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4117727892096).

2068406147808 is an abundant number, since it is smaller than the sum of its proper divisors (6167049636384).

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

2068406147808 is a wasteful number, since it uses less digits than its factorization.

2068406147808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20510 (or 20477 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 2068406147808 in words is "two trillion, sixty-eight billion, four hundred six million, one hundred forty-seven thousand, eight hundred eight".