8424324000 has 480 divisors, whose sum is σ = 31337482176. Its totient is φ = 2225491200.

The previous prime is 8424323983. The next prime is 8424324017. The reversal of 8424324000 is 4234248.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8424323983) and next prime (8424324017).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78731947 + ... + 78732053.

Almost surely, 2^8424324000 is an apocalyptic number.

8424324000 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 8424324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15668741088).

8424324000 is an abundant number, since it is smaller than the sum of its proper divisors (22913158176).

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

8424324000 is an frugal number, since it uses more digits than its factorization.

8424324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 8424324000 is about 91784.1162729151. The cubic root of 8424324000 is about 2034.7529517159.

Adding to 8424324000 its reverse (4234248), we get a palindrome (8428558248).

The spelling of 8424324000 in words is "eight billion, four hundred twenty-four million, three hundred twenty-four thousand".