8504082432 has 252 divisors, whose sum is σ = 25787006910. Its totient is φ = 2802843648.

The previous prime is 8504082413. The next prime is 8504082443. The reversal of 8504082432 is 2342804058.

8504082432 is a `hidden beast` number, since 8 + 5 + 0 + 408 + 243 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8074100736 + 429981696 = 89856^2 + 20736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 95551444 + ... + 95551532.

Almost surely, 2^8504082432 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 8504082432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12893503455).

8504082432 is an abundant number, since it is smaller than the sum of its proper divisors (17282924478).

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

8504082432 is an frugal number, since it uses more digits than its factorization.

8504082432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 8504082432 is about 92217.5820112412. The cubic root of 8504082432 is about 2041.1542257122.

The spelling of 8504082432 in words is "eight billion, five hundred four million, eighty-two thousand, four hundred thirty-two".