9984539520 has 768 divisors, whose sum is σ = 39207168000. Its totient is φ = 2418647040.

The previous prime is 9984539401. The next prime is 9984539561. The reversal of 9984539520 is 259354899.

It is a happy number.

9984539520 is a `hidden beast` number, since 9 + 9 + 84 + 5 + 39 + 520 = 666.

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

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, 91601226 + ... + 91601334.

It is an arithmetic number, because the mean of its divisors is an integer number (51051000).

Almost surely, 2^9984539520 is an apocalyptic number.

9984539520 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 9984539520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19603584000).

9984539520 is an abundant number, since it is smaller than the sum of its proper divisors (29222628480).

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

9984539520 is a wasteful number, since it uses less digits than its factorization.

9984539520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The square root of 9984539520 is about 99922.6676985758. The cubic root of 9984539520 is about 2153.3238308733.

The spelling of 9984539520 in words is "nine billion, nine hundred eighty-four million, five hundred thirty-nine thousand, five hundred twenty".