999820608768 has 108 divisors (see below), whose sum is σ = 2883402121600. Its totient is φ = 333195752448.

The previous prime is 999820608739. The next prime is 999820608769. The reversal of 999820608768 is 867806028999.

999820608768 is a `hidden beast` number, since 9 + 9 + 9 + 8 + 2 + 0 + 608 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 999820608696 and 999820608705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999820608769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10280433 + ... + 10377231.

Almost surely, 2^999820608768 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 999820608768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441701060800).

999820608768 is an abundant number, since it is smaller than the sum of its proper divisors (1883581512832).

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

999820608768 is a wasteful number, since it uses less digits than its factorization.

999820608768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101304 (or 101287 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 999820608768 in words is "nine hundred ninety-nine billion, eight hundred twenty million, six hundred eight thousand, seven hundred sixty-eight".