8215424000 has 352 divisors, whose sum is σ = 24003547776. Its totient is φ = 2747596800.

The previous prime is 8215423999. The next prime is 8215424033. The reversal of 8215424000 is 4245128.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47487914 + ... + 47488086.

Almost surely, 2^8215424000 is an apocalyptic number.

8215424000 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 8215424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12001773888).

8215424000 is an abundant number, since it is smaller than the sum of its proper divisors (15788123776).

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

8215424000 is a wasteful number, since it uses less digits than its factorization.

8215424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 8215424000 is about 90638.9761636792. The cubic root of 8215424000 is about 2017.7932310215.

Adding to 8215424000 its reverse (4245128), we get a palindrome (8219669128).

The spelling of 8215424000 in words is "eight billion, two hundred fifteen million, four hundred twenty-four thousand".