9938744640 has 672 divisors, whose sum is σ = 39208740480. Its totient is φ = 2289254400.

The previous prime is 9938744623. The next prime is 9938744653. The reversal of 9938744640 is 464478399.

It is a happy number.

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, 71501691 + ... + 71501829.

It is an arithmetic number, because the mean of its divisors is an integer number (58346340).

Almost surely, 2^9938744640 is an apocalyptic number.

9938744640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9938744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19604370240).

9938744640 is an abundant number, since it is smaller than the sum of its proper divisors (29269995840).

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

9938744640 is a wasteful number, since it uses less digits than its factorization.

9938744640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 9938744640 is about 99693.2527305635. The cubic root of 9938744640 is about 2150.0266547984.

The spelling of 9938744640 in words is "nine billion, nine hundred thirty-eight million, seven hundred forty-four thousand, six hundred forty".