818447990976 has 1008 divisors, whose sum is σ = 3094202022912. Its totient is φ = 204315955200.

The previous prime is 818447990947. The next prime is 818447990989. The reversal of 818447990976 is 679099744818.

818447990976 is a `hidden beast` number, since 8 + 1 + 8 + 447 + 9 + 90 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-5 number, since 5×818447990976⁵ (a number of 61 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2665954215 + ... + 2665954521.

It is an arithmetic number, because the mean of its divisors is an integer number (3069644864).

Almost surely, 2^818447990976 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 818447990976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547101011456).

818447990976 is an abundant number, since it is smaller than the sum of its proper divisors (2275754031936).

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

818447990976 is a wasteful number, since it uses less digits than its factorization.

818447990976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 818447990976 in words is "eight hundred eighteen billion, four hundred forty-seven million, nine hundred ninety thousand, nine hundred seventy-six".