8946240000 has 200 divisors, whose sum is σ = 29785340640. Its totient is φ = 2385408000.

The previous prime is 8946239977. The next prime is 8946240019. The reversal of 8946240000 is 426498.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 955341 + ... + 964659.

Almost surely, 2^8946240000 is an apocalyptic number.

8946240000 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 8946240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14892670320).

8946240000 is an abundant number, since it is smaller than the sum of its proper divisors (20839100640).

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

8946240000 is an frugal number, since it uses more digits than its factorization.

8946240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9360 (or 9329 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 8946240000 is about 94584.5653370570. The cubic root of 8946240000 is about 2075.9338710229.

Adding to 8946240000 its reverse (426498), we get a palindrome (8946666498).

The spelling of 8946240000 in words is "eight billion, nine hundred forty-six million, two hundred forty thousand".