8502848640 has 1280 divisors, whose sum is σ = 37819837440. Its totient is φ = 1791590400.

The previous prime is 8502848581. The next prime is 8502848657. The reversal of 8502848640 is 468482058.

8502848640 is a `hidden beast` number, since 8 + 502 + 84 + 8 + 64 + 0 = 666.

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

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 229806702 + ... + 229806738.

It is an arithmetic number, because the mean of its divisors is an integer number (29546748).

Almost surely, 2^8502848640 is an apocalyptic number.

8502848640 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 8502848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18909918720).

8502848640 is an abundant number, since it is smaller than the sum of its proper divisors (29316988800).

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

8502848640 is a wasteful number, since it uses less digits than its factorization.

8502848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 8502848640 is about 92210.8921982647. The cubic root of 8502848640 is about 2041.0555091419.

The spelling of 8502848640 in words is "eight billion, five hundred two million, eight hundred forty-eight thousand, six hundred forty".