9079745725440 has 1760 divisors, whose sum is σ = 37570115278080. Its totient is φ = 2079009275904.

The previous prime is 9079745725363. The next prime is 9079745725447. The reversal of 9079745725440 is 445275479709.

9079745725440 is a `hidden beast` number, since 9 + 0 + 7 + 9 + 7 + 4 + 572 + 54 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (9079745725447) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4588046371 + ... + 4588048349.

It is an arithmetic number, because the mean of its divisors is an integer number (21346656408).

Almost surely, 2^{9079745725440} is an apocalyptic number.

9079745725440 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 9079745725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18785057639040).

9079745725440 is an abundant number, since it is smaller than the sum of its proper divisors (28490369552640).

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

9079745725440 is a wasteful number, since it uses less digits than its factorization.

9079745725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 9079745725440 in words is "nine trillion, seventy-nine billion, seven hundred forty-five million, seven hundred twenty-five thousand, four hundred forty".