9838966720 has 224 divisors, whose sum is σ = 26118775296. Its totient is φ = 3500544000.

The previous prime is 9838966691. The next prime is 9838966741. The reversal of 9838966720 is 276698389.

It is a super-2 number, since 2×9838966720² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56872554 + ... + 56872726.

Almost surely, 2^9838966720 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 9838966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13059387648).

9838966720 is an abundant number, since it is smaller than the sum of its proper divisors (16279808576).

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

9838966720 is a wasteful number, since it uses less digits than its factorization.

9838966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The square root of 9838966720 is about 99191.5657704827. The cubic root of 9838966720 is about 2142.8075300598.

The spelling of 9838966720 in words is "nine billion, eight hundred thirty-eight million, nine hundred sixty-six thousand, seven hundred twenty".