1838828072766 has 64 divisors (see below), whose sum is σ = 3847062159360. Its totient is φ = 584842278240.

The previous prime is 1838828072761. The next prime is 1838828072773. The reversal of 1838828072766 is 6672708288381.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 1838828072697 and 1838828072706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1838828072761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93889411 + ... + 93908993.

It is an arithmetic number, because the mean of its divisors is an integer number (60110346240).

Almost surely, 2^{1838828072766} is an apocalyptic number.

1838828072766 is an abundant number, since it is smaller than the sum of its proper divisors (2008234086594).

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

1838828072766 is a wasteful number, since it uses less digits than its factorization.

1838828072766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21261.

The product of its (nonzero) digits is 86704128, while the sum is 66.

The spelling of 1838828072766 in words is "one trillion, eight hundred thirty-eight billion, eight hundred twenty-eight million, seventy-two thousand, seven hundred sixty-six".