8991964800 has 1152 divisors, whose sum is σ = 40882383360. Its totient is φ = 1831403520.

The previous prime is 8991964769. The next prime is 8991964801. The reversal of 8991964800 is 84691998.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (8991964801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 123177564 + ... + 123177636.

It is an arithmetic number, because the mean of its divisors is an integer number (35488180).

Almost surely, 2^8991964800 is an apocalyptic number.

8991964800 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 8991964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20441191680).

8991964800 is an abundant number, since it is smaller than the sum of its proper divisors (31890418560).

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

8991964800 is a wasteful number, since it uses less digits than its factorization.

8991964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 8991964800 is about 94825.9711260581. The cubic root of 8991964800 is about 2079.4646057905.

The spelling of 8991964800 in words is "eight billion, nine hundred ninety-one million, nine hundred sixty-four thousand, eight hundred".