8424495072 has 576 divisors, whose sum is σ = 30116136960. Its totient is φ = 2266361856.

The previous prime is 8424495071. The next prime is 8424495077. The reversal of 8424495072 is 2705944248.

8424495072 is a `hidden beast` number, since 84 + 24 + 49 + 507 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8424495071) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94657204 + ... + 94657292.

It is an arithmetic number, because the mean of its divisors is an integer number (52284960).

Almost surely, 2^8424495072 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 8424495072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15058068480).

8424495072 is an abundant number, since it is smaller than the sum of its proper divisors (21691641888).

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

8424495072 is a wasteful number, since it uses less digits than its factorization.

8424495072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 8424495072 is about 91785.0481941367. The cubic root of 8424495072 is about 2034.7667248053.

The spelling of 8424495072 in words is "eight billion, four hundred twenty-four million, four hundred ninety-five thousand, seventy-two".