9689937984 has 392 divisors, whose sum is σ = 32181942240. Its totient is φ = 2875502592.

The previous prime is 9689937953. The next prime is 9689938031. The reversal of 9689937984 is 4897399869.

9689937984 is a `hidden beast` number, since 96 + 8 + 99 + 379 + 84 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15069567 + ... + 15070209.

It is a vampire number, since it can be written as 98379 ⋅ 98496 (with its own digits).

Almost surely, 2^9689937984 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 9689937984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16090971120).

9689937984 is an abundant number, since it is smaller than the sum of its proper divisors (22492004256).

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

9689937984 is a wasteful number, since it uses less digits than its factorization.

9689937984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 684 counting only the distinct ones).

The product of its digits is 211631616, while the sum is 72.

The square root of 9689937984 is about 98437.4826171413. The cubic root of 9689937984 is about 2131.9335586563.

The spelling of 9689937984 in words is "nine billion, six hundred eighty-nine million, nine hundred thirty-seven thousand, nine hundred eighty-four".