8504455680 has 960 divisors, whose sum is σ = 36721935360. Its totient is φ = 1881169920.

The previous prime is 8504455667. The next prime is 8504455691. The reversal of 8504455680 is 865544058.

8504455680 is a `hidden beast` number, since 8 + 50 + 44 + 556 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 274337265 + ... + 274337295.

It is an arithmetic number, because the mean of its divisors is an integer number (38252016).

Almost surely, 2^8504455680 is an apocalyptic number.

8504455680 is a gapful number since it is divisible by the number (80) 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 8504455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18360967680).

8504455680 is an abundant number, since it is smaller than the sum of its proper divisors (28217479680).

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

8504455680 is an frugal number, since it uses more digits than its factorization.

8504455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 8504455680 is about 92219.6057245963. The cubic root of 8504455680 is about 2041.1840876674.

The spelling of 8504455680 in words is "eight billion, five hundred four million, four hundred fifty-five thousand, six hundred eighty".