819680775168 has 352 divisors, whose sum is σ = 2326261893120. Its totient is φ = 256148766720.

The previous prime is 819680775167. The next prime is 819680775169. The reversal of 819680775168 is 861577086918.

It is an interprime number because it is at equal distance from previous prime (819680775167) and next prime (819680775169).

It is a junction number, because it is equal to n+sod(n) for n = 819680775099 and 819680775108.

It is not an unprimeable number, because it can be changed into a prime (819680775167) 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, 1243824823 + ... + 1243825481.

It is an arithmetic number, because the mean of its divisors is an integer number (6608698560).

Almost surely, 2^819680775168 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 819680775168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163130946560).

819680775168 is an abundant number, since it is smaller than the sum of its proper divisors (1506581117952).

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

819680775168 is a wasteful number, since it uses less digits than its factorization.

819680775168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 66.

The spelling of 819680775168 in words is "eight hundred nineteen billion, six hundred eighty million, seven hundred seventy-five thousand, one hundred sixty-eight".