8424000000 has 700 divisors, whose sum is σ = 33846480822. Its totient is φ = 2073600000.

The previous prime is 8423999989. The next prime is 8424000061. The reversal of 8424000000 is 4248.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 6069033216 + 2354966784 = 77904^2 + 48528^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 647999994 + ... + 648000006.

Almost surely, 2^8424000000 is an apocalyptic number.

8424000000 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 8424000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16923240411).

8424000000 is an abundant number, since it is smaller than the sum of its proper divisors (25422480822).

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

8424000000 is an frugal number, since it uses more digits than its factorization.

8424000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 8424000000 is about 91782.3512446701. The cubic root of 8424000000 is about 2034.7268658085.

Adding to 8424000000 its reverse (4248), we get a palindrome (8424004248).

The spelling of 8424000000 in words is "eight billion, four hundred twenty-four million", and thus it is an aban number.