9739440000 has 560 divisors, whose sum is σ = 36569637720. Its totient is φ = 2581632000.

The previous prime is 9739439977. The next prime is 9739440019. The reversal of 9739440000 is 449379.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 58319917 + ... + 58320083.

Almost surely, 2^9739440000 is an apocalyptic number.

9739440000 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 9739440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18284818860).

9739440000 is an abundant number, since it is smaller than the sum of its proper divisors (26830197720).

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

9739440000 is an frugal number, since it uses more digits than its factorization.

9739440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 9739440000 is about 98688.6011654842. The cubic root of 9739440000 is about 2135.5577925634.

Adding to 9739440000 its reverse (449379), we get a palindrome (9739889379).

The spelling of 9739440000 in words is "nine billion, seven hundred thirty-nine million, four hundred forty thousand".