818613319680 has 1440 divisors, whose sum is σ = 3306418315200. Its totient is φ = 192536248320.

The previous prime is 818613319669. The next prime is 818613319681. The reversal of 818613319680 is 86913316818.

818613319680 is a `hidden beast` number, since 8 + 1 + 8 + 613 + 3 + 19 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (818613319681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10362193881 + ... + 10362193959.

It is an arithmetic number, because the mean of its divisors is an integer number (2296123830).

Almost surely, 2^818613319680 is an apocalyptic number.

818613319680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 818613319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653209157600).

818613319680 is an abundant number, since it is smaller than the sum of its proper divisors (2487804995520).

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

818613319680 is a wasteful number, since it uses less digits than its factorization.

818613319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 818613319680 in words is "eight hundred eighteen billion, six hundred thirteen million, three hundred nineteen thousand, six hundred eighty".