9825484032 has 720 divisors, whose sum is σ = 37229187072. Its totient is φ = 2508226560.

The previous prime is 9825484027. The next prime is 9825484037. The reversal of 9825484032 is 2304845289.

It is an interprime number because it is at equal distance from previous prime (9825484027) and next prime (9825484037).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9825484037) 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, 77365953 + ... + 77366079.

Almost surely, 2^9825484032 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 9825484032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18614593536).

9825484032 is an abundant number, since it is smaller than the sum of its proper divisors (27403703040).

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

9825484032 is a wasteful number, since it uses less digits than its factorization.

9825484032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 9825484032 is about 99123.5795963806. The cubic root of 9825484032 is about 2141.8282940299.

The spelling of 9825484032 in words is "nine billion, eight hundred twenty-five million, four hundred eighty-four thousand, thirty-two".