9750097440 has 192 divisors, whose sum is σ = 35609414400. Its totient is φ = 2486956032.

The previous prime is 9750097433. The next prime is 9750097457. The reversal of 9750097440 is 447900579.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50296 + ... + 148424.

It is an arithmetic number, because the mean of its divisors is an integer number (185465700).

Almost surely, 2^9750097440 is an apocalyptic number.

9750097440 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 9750097440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17804707200).

9750097440 is an abundant number, since it is smaller than the sum of its proper divisors (25859316960).

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

9750097440 is a wasteful number, since it uses less digits than its factorization.

9750097440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98176 (or 98162 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 9750097440 is about 98742.5816960444. The cubic root of 9750097440 is about 2136.3364575408.

The spelling of 9750097440 in words is "nine billion, seven hundred fifty million, ninety-seven thousand, four hundred forty".