8995568400 has 960 divisors, whose sum is σ = 40245757440. Its totient is φ = 1881169920.

The previous prime is 8995568389. The next prime is 8995568423. The reversal of 8995568400 is 48655998.

It is a happy number.

8995568400 is a `hidden beast` number, since 8 + 9 + 9 + 556 + 84 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79606744 + ... + 79606856.

It is an arithmetic number, because the mean of its divisors is an integer number (41922664).

Almost surely, 2^8995568400 is an apocalyptic number.

8995568400 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 8995568400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20122878720).

8995568400 is an abundant number, since it is smaller than the sum of its proper divisors (31250189040).

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

8995568400 is a wasteful number, since it uses less digits than its factorization.

8995568400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 8995568400 is about 94844.9703463499. The cubic root of 8995568400 is about 2079.7423559081.

The spelling of 8995568400 in words is "eight billion, nine hundred ninety-five million, five hundred sixty-eight thousand, four hundred".