8924400000 has 576 divisors, whose sum is σ = 33458639760. Its totient is φ = 2280960000.

The previous prime is 8924399989. The next prime is 8924400011. The reversal of 8924400000 is 44298.

It is an interprime number because it is at equal distance from previous prime (8924399989) and next prime (8924400011).

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 133199967 + ... + 133200033.

Almost surely, 2^8924400000 is an apocalyptic number.

8924400000 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 8924400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16729319880).

8924400000 is an abundant number, since it is smaller than the sum of its proper divisors (24534239760).

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

8924400000 is an equidigital number, since it uses as much as digits as its factorization.

8924400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8924400000 is about 94469.0425483396. The cubic root of 8924400000 is about 2074.2432039580.

Adding to 8924400000 its reverse (44298), we get a palindrome (8924444298).

The spelling of 8924400000 in words is "eight billion, nine hundred twenty-four million, four hundred thousand".