8990784000 has 960 divisors, whose sum is σ = 37356359040. Its totient is φ = 2128896000.

The previous prime is 8990783993. The next prime is 8990784001. The reversal of 8990784000 is 4870998.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8990784001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209087979 + ... + 209088021.

It is an arithmetic number, because the mean of its divisors is an integer number (38912874).

Almost surely, 2^8990784000 is an apocalyptic number.

8990784000 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 8990784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18678179520).

8990784000 is an abundant number, since it is smaller than the sum of its proper divisors (28365575040).

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

8990784000 is a wasteful number, since it uses less digits than its factorization.

8990784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 8990784000 is about 94819.7447792389. The cubic root of 8990784000 is about 2079.3735786217.

The spelling of 8990784000 in words is "eight billion, nine hundred ninety million, seven hundred eighty-four thousand".