8224957440 has 528 divisors, whose sum is σ = 33384244608. Its totient is φ = 1833172992.

The previous prime is 8224957423. The next prime is 8224957463. The reversal of 8224957440 is 447594228.

It is a super-2 number, since 2×8224957440² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13869784 + ... + 13870376.

It is an arithmetic number, because the mean of its divisors is an integer number (63227736).

Almost surely, 2^8224957440 is an apocalyptic number.

8224957440 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 8224957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16692122304).

8224957440 is an abundant number, since it is smaller than the sum of its proper divisors (25159287168).

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

8224957440 is a wasteful number, since it uses less digits than its factorization.

8224957440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 653 counting only the distinct ones).

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

The square root of 8224957440 is about 90691.5510949063. The cubic root of 8224957440 is about 2018.5734331798.

The spelling of 8224957440 in words is "eight billion, two hundred twenty-four million, nine hundred fifty-seven thousand, four hundred forty".