8422724464 has 240 divisors, whose sum is σ = 21536121600. Its totient is φ = 3162969600.

The previous prime is 8422724461. The next prime is 8422724503. The reversal of 8422724464 is 4644272248.

It is a self number, because there is not a number n which added to its sum of digits gives 8422724464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8422724461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101478567 + ... + 101478649.

It is an arithmetic number, because the mean of its divisors is an integer number (89733840).

Almost surely, 2^8422724464 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 8422724464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10768060800).

8422724464 is an abundant number, since it is smaller than the sum of its proper divisors (13113397136).

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

8422724464 is a wasteful number, since it uses less digits than its factorization.

8422724464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 144 counting only the distinct ones).

The product of its digits is 688128, while the sum is 43.

The square root of 8422724464 is about 91775.4022818751. The cubic root of 8422724464 is about 2034.6241632771.

The spelling of 8422724464 in words is "eight billion, four hundred twenty-two million, seven hundred twenty-four thousand, four hundred sixty-four".