8004820512 has 96 divisors (see below), whose sum is σ = 22849077888. Its totient is φ = 2439069696.

The previous prime is 8004820489. The next prime is 8004820529. The reversal of 8004820512 is 2150284008.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 8004820512.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 97408 + ... + 159680.

It is an arithmetic number, because the mean of its divisors is an integer number (238011228).

Almost surely, 2^8004820512 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 8004820512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11424538944).

8004820512 is an abundant number, since it is smaller than the sum of its proper divisors (14844257376).

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

8004820512 is a wasteful number, since it uses less digits than its factorization.

8004820512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62402 (or 62394 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 8004820512 is about 89469.6625231145. The cubic root of 8004820512 is about 2000.4016286751.

The spelling of 8004820512 in words is "eight billion, four million, eight hundred twenty thousand, five hundred twelve".