9975032340 has 144 divisors (see below), whose sum is σ = 34564618368. Its totient is φ = 2104607232.

The previous prime is 9975032339. The next prime is 9975032359. The reversal of 9975032340 is 432305799.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 9975032292 and 9975032301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 714 + ... + 141246.

It is an arithmetic number, because the mean of its divisors is an integer number (240032072).

Almost surely, 2^9975032340 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 9975032340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17282309184).

9975032340 is an abundant number, since it is smaller than the sum of its proper divisors (24589586028).

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

9975032340 is a wasteful number, since it uses less digits than its factorization.

9975032340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140578 (or 140563 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 9975032340 is about 99875.0836795644. The cubic root of 9975032340 is about 2152.6401559305.

The spelling of 9975032340 in words is "nine billion, nine hundred seventy-five million, thirty-two thousand, three hundred forty".