8984664000 has 672 divisors, whose sum is σ = 35913608640. Its totient is φ = 2128896000.

The previous prime is 8984663977. The next prime is 8984664011. The reversal of 8984664000 is 4664898.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27143835 + ... + 27144165.

It is an arithmetic number, because the mean of its divisors is an integer number (53442870).

Almost surely, 2^8984664000 is an apocalyptic number.

8984664000 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 8984664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17956804320).

8984664000 is an abundant number, since it is smaller than the sum of its proper divisors (26928944640).

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

8984664000 is a wasteful number, since it uses less digits than its factorization.

8984664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8984664000 is about 94787.4675260395. The cubic root of 8984664000 is about 2078.9016637194.

The spelling of 8984664000 in words is "eight billion, nine hundred eighty-four million, six hundred sixty-four thousand".