8424953856 has 480 divisors, whose sum is σ = 29016187200. Its totient is φ = 2418647040.

The previous prime is 8424953827. The next prime is 8424953863. The reversal of 8424953856 is 6583594248.

8424953856 is a `hidden beast` number, since 84 + 24 + 9 + 538 + 5 + 6 = 666.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 443418615 + ... + 443418633.

It is an arithmetic number, because the mean of its divisors is an integer number (60450390).

Almost surely, 2^8424953856 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 8424953856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14508093600).

8424953856 is an abundant number, since it is smaller than the sum of its proper divisors (20591233344).

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

8424953856 is an frugal number, since it uses more digits than its factorization.

8424953856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 35 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The square root of 8424953856 is about 91787.5473907000. The cubic root of 8424953856 is about 2034.8036608061.

The spelling of 8424953856 in words is "eight billion, four hundred twenty-four million, nine hundred fifty-three thousand, eight hundred fifty-six".