9236642088960 has 1152 divisors, whose sum is σ = 37730037945600. Its totient is φ = 2060302417920.

The previous prime is 9236642088953. The next prime is 9236642089063. The reversal of 9236642088960 is 698802466329.

9236642088960 is a `hidden beast` number, since 9 + 2 + 366 + 4 + 208 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4915721301 + ... + 4915723179.

It is an arithmetic number, because the mean of its divisors is an integer number (32751769050).

Almost surely, 2^{9236642088960} is an apocalyptic number.

9236642088960 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 9236642088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18865018972800).

9236642088960 is an abundant number, since it is smaller than the sum of its proper divisors (28493395856640).

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

9236642088960 is a wasteful number, since it uses less digits than its factorization.

9236642088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 9236642088960 in words is "nine trillion, two hundred thirty-six billion, six hundred forty-two million, eighty-eight thousand, nine hundred sixty".