9934737984 has 252 divisors, whose sum is σ = 31086553524. Its totient is φ = 3030663168.

The previous prime is 9934737979. The next prime is 9934738039. The reversal of 9934737984 is 4897374399.

9934737984 is a `hidden beast` number, since 9 + 93 + 473 + 79 + 8 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3039096384 + 6895641600 = 55128^2 + 83040^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6158362 + ... + 6159974.

Almost surely, 2^9934737984 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 9934737984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15543276762).

9934737984 is an abundant number, since it is smaller than the sum of its proper divisors (21151815540).

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

9934737984 is a wasteful number, since it uses less digits than its factorization.

9934737984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1672 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The square root of 9934737984 is about 99673.1557842933. The cubic root of 9934737984 is about 2149.7376989541.

The spelling of 9934737984 in words is "nine billion, nine hundred thirty-four million, seven hundred thirty-seven thousand, nine hundred eighty-four".