818005837824 has 672 divisors, whose sum is σ = 2900341080000. Its totient is φ = 225573175296.

The previous prime is 818005837771. The next prime is 818005837829. The reversal of 818005837824 is 428738500818.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (818005837829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 303076027 + ... + 303078725.

It is an arithmetic number, because the mean of its divisors is an integer number (4315983750).

Almost surely, 2^818005837824 is an apocalyptic number.

818005837824 is a gapful number since it is divisible by the number (84) 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 818005837824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450170540000).

818005837824 is an abundant number, since it is smaller than the sum of its proper divisors (2082335242176).

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

818005837824 is an equidigital number, since it uses as much as digits as its factorization.

818005837824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 818005837824 in words is "eight hundred eighteen billion, five million, eight hundred thirty-seven thousand, eight hundred twenty-four".