9984735600 has 480 divisors, whose sum is σ = 39050119680. Its totient is φ = 2130001920.

The previous prime is 9984735587. The next prime is 9984735637. The reversal of 9984735600 is 65374899.

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, 11650372 + ... + 11651228.

It is an arithmetic number, because the mean of its divisors is an integer number (81354416).

Almost surely, 2^9984735600 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 9984735600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19525059840).

9984735600 is an abundant number, since it is smaller than the sum of its proper divisors (29065384080).

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

9984735600 is a wasteful number, since it uses less digits than its factorization.

9984735600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 9984735600 is about 99923.6488525114. The cubic root of 9984735600 is about 2153.3379266986.

The spelling of 9984735600 in words is "nine billion, nine hundred eighty-four million, seven hundred thirty-five thousand, six hundred".