9635397632000 has 912 divisors, whose sum is σ = 29706009145488. Its totient is φ = 3100429516800.

The previous prime is 9635397631987. The next prime is 9635397632033. The reversal of 9635397632000 is 2367935369.

It can be written as a sum of positive squares in 8 ways, for example, as 2255090876416 + 7380306755584 = 1501696^2 + 2716672^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27295743824 + ... + 27295744176.

It is an arithmetic number, because the mean of its divisors is an integer number (32572378449).

Almost surely, 2^{9635397632000} 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 9635397632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14853004572744).

9635397632000 is an abundant number, since it is smaller than the sum of its proper divisors (20070611513488).

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

9635397632000 is an frugal number, since it uses more digits than its factorization.

9635397632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 53.

The spelling of 9635397632000 in words is "nine trillion, six hundred thirty-five billion, three hundred ninety-seven million, six hundred thirty-two thousand".