9898604640 has 288 divisors, whose sum is σ = 34559965440. Its totient is φ = 2579186688.

The previous prime is 9898604557. The next prime is 9898604641. The reversal of 9898604640 is 464068989.

9898604640 is a `hidden beast` number, since 98 + 98 + 6 + 0 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9898604641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22344259 + ... + 22344701.

It is an arithmetic number, because the mean of its divisors is an integer number (119999880).

Almost surely, 2^9898604640 is an apocalyptic number.

9898604640 is a gapful number since it is divisible by the number (90) 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 9898604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17279982720).

9898604640 is an abundant number, since it is smaller than the sum of its proper divisors (24661360800).

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

9898604640 is a wasteful number, since it uses less digits than its factorization.

9898604640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 9898604640 is about 99491.7315157395. The cubic root of 9898604640 is about 2147.1282835486.

The spelling of 9898604640 in words is "nine billion, eight hundred ninety-eight million, six hundred four thousand, six hundred forty".