9984424939632 has 720 divisors, whose sum is σ = 35291061789984. Its totient is φ = 2608363929600.

The previous prime is 9984424939627. The next prime is 9984424939633. The reversal of 9984424939632 is 2369394244899.

9984424939632 is a `hidden beast` number, since 9 + 9 + 8 + 4 + 42 + 493 + 96 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9984424939633) 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, 504432328 + ... + 504452120.

Almost surely, 2^{9984424939632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9984424939632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17645530894992).

9984424939632 is an abundant number, since it is smaller than the sum of its proper divisors (25306636850352).

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

9984424939632 is a wasteful number, since it uses less digits than its factorization.

9984424939632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19990 (or 19970 counting only the distinct ones).

The product of its digits is 725594112, while the sum is 72.

The spelling of 9984424939632 in words is "nine trillion, nine hundred eighty-four billion, four hundred twenty-four million, nine hundred thirty-nine thousand, six hundred thirty-two".