2068680733548 has 288 divisors, whose sum is σ = 5816135334912. Its totient is φ = 568334638080.

The previous prime is 2068680733543. The next prime is 2068680733573. The reversal of 2068680733548 is 8453370868602.

It is a happy number.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2068680733491 and 2068680733500.

It is not an unprimeable number, because it can be changed into a prime (2068680733543) 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, 464139736 + ... + 464144192.

Almost surely, 2^{2068680733548} 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 2068680733548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908067667456).

2068680733548 is an abundant number, since it is smaller than the sum of its proper divisors (3747454601364).

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

2068680733548 is a wasteful number, since it uses less digits than its factorization.

2068680733548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4933 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 2068680733548 in words is "two trillion, sixty-eight billion, six hundred eighty million, seven hundred thirty-three thousand, five hundred forty-eight".