9740288000 has 272 divisors, whose sum is σ = 25763315760. Its totient is φ = 3670016000.

The previous prime is 9740287979. The next prime is 9740288059. The reversal of 9740288000 is 8820479.

It can be written as a sum of positive squares in 8 ways, for example, as 5742002176 + 3998285824 = 75776^2 + 63232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237567980 + ... + 237568020.

Almost surely, 2^9740288000 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 9740288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12881657880).

9740288000 is an abundant number, since it is smaller than the sum of its proper divisors (16023027760).

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

9740288000 is an frugal number, since it uses more digits than its factorization.

9740288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 9740288000 is about 98692.8974141503. The cubic root of 9740288000 is about 2135.6197708172.

The spelling of 9740288000 in words is "nine billion, seven hundred forty million, two hundred eighty-eight thousand".