9042656895360 has 768 divisors, whose sum is σ = 34343661381120. Its totient is φ = 2174231347200.

The previous prime is 9042656895277. The next prime is 9042656895367. The reversal of 9042656895360 is 635986562409.

9042656895360 is a `hidden beast` number, since 9 + 0 + 4 + 2 + 6 + 568 + 9 + 5 + 3 + 60 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9042656895367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8052231759 + ... + 8052232881.

It is an arithmetic number, because the mean of its divisors is an integer number (44718309090).

Almost surely, 2^{9042656895360} is an apocalyptic number.

9042656895360 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 9042656895360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17171830690560).

9042656895360 is an abundant number, since it is smaller than the sum of its proper divisors (25301004485760).

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

9042656895360 is a wasteful number, since it uses less digits than its factorization.

9042656895360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 9042656895360 in words is "nine trillion, forty-two billion, six hundred fifty-six million, eight hundred ninety-five thousand, three hundred sixty".