819893984768 has 40 divisors (see below), whose sum is σ = 1642880916600. Its totient is φ = 408772270080.

The previous prime is 819893984761. The next prime is 819893984863. The reversal of 819893984768 is 867489398918.

It is a super-2 number, since 2×819893984768² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 819893984692 and 819893984701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819893984761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2115518 + ... + 2472893.

It is an arithmetic number, because the mean of its divisors is an integer number (41072022915).

Almost surely, 2^819893984768 is an apocalyptic number.

It is an amenable number.

819893984768 is an abundant number, since it is smaller than the sum of its proper divisors (822986931832).

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

819893984768 is an equidigital number, since it uses as much as digits as its factorization.

819893984768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4588778 (or 4588762 counting only the distinct ones).

The product of its digits is 1504935936, while the sum is 80.

The spelling of 819893984768 in words is "eight hundred nineteen billion, eight hundred ninety-three million, nine hundred eighty-four thousand, seven hundred sixty-eight".