9075786240 has 480 divisors, whose sum is σ = 32150352960. Its totient is φ = 2176450560.

The previous prime is 9075786217. The next prime is 9075786253. The reversal of 9075786240 is 426875709.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9075786240.

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, 221360620 + ... + 221360660.

It is an arithmetic number, because the mean of its divisors is an integer number (66979902).

Almost surely, 2^9075786240 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 9075786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16075176480).

9075786240 is an abundant number, since it is smaller than the sum of its proper divisors (23074566720).

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

9075786240 is a wasteful number, since it uses less digits than its factorization.

9075786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 9075786240 is about 95266.9210166887. The cubic root of 9075786240 is about 2085.9060936471.

The spelling of 9075786240 in words is "nine billion, seventy-five million, seven hundred eighty-six thousand, two hundred forty".