9536940000 has 900 divisors, whose sum is σ = 41484426984. Its totient is φ = 2104704000.

The previous prime is 9536939963. The next prime is 9536940059. The reversal of 9536940000 is 496359.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 328859986 + ... + 328860014.

Almost surely, 2^9536940000 is an apocalyptic number.

9536940000 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 9536940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20742213492).

9536940000 is an abundant number, since it is smaller than the sum of its proper divisors (31947486984).

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

9536940000 is an equidigital number, since it uses as much as digits as its factorization.

9536940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 9536940000 is about 97657.2577947999. The cubic root of 9536940000 is about 2120.6533526781.

The spelling of 9536940000 in words is "nine billion, five hundred thirty-six million, nine hundred forty thousand".