8004785209344 has 1632 divisors, whose sum is σ = 30681099680000. Its totient is φ = 2060090081280.

The previous prime is 8004785209327. The next prime is 8004785209391. The reversal of 8004785209344 is 4439025874008.

8004785209344 is a `hidden beast` number, since 8 + 0 + 0 + 4 + 78 + 520 + 9 + 3 + 44 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73438396362 + ... + 73438396470.

Almost surely, 2^{8004785209344} is an apocalyptic number.

8004785209344 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 8004785209344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15340549840000).

8004785209344 is an abundant number, since it is smaller than the sum of its proper divisors (22676314470656).

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

8004785209344 is an equidigital number, since it uses as much as digits as its factorization.

8004785209344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 8004785209344 in words is "eight trillion, four billion, seven hundred eighty-five million, two hundred nine thousand, three hundred forty-four".