8999605440 has 560 divisors, whose sum is σ = 36919156032. Its totient is φ = 2038431744.

The previous prime is 8999605387. The next prime is 8999605441. The reversal of 8999605440 is 445069998.

8999605440 is a `hidden beast` number, since 8 + 9 + 9 + 96 + 0 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is not an unprimeable number, because it can be changed into a prime (8999605441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35017792 + ... + 35018048.

Almost surely, 2^8999605440 is an apocalyptic number.

8999605440 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 8999605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18459578016).

8999605440 is an abundant number, since it is smaller than the sum of its proper divisors (27919550592).

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

8999605440 is a wasteful number, since it uses less digits than its factorization.

8999605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 8999605440 is about 94866.2502684701. The cubic root of 8999605440 is about 2080.0534256494.

The spelling of 8999605440 in words is "eight billion, nine hundred ninety-nine million, six hundred five thousand, four hundred forty".