9956347632 has 360 divisors, whose sum is σ = 36677152512. Its totient is φ = 2585520000.

The previous prime is 9956347613. The next prime is 9956347669. The reversal of 9956347632 is 2367436599.

9956347632 is a `hidden beast` number, since 9 + 9 + 563 + 4 + 76 + 3 + 2 = 666.

9956347632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2093257 + ... + 2098007.

Almost surely, 2^9956347632 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 9956347632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18338576256).

9956347632 is an abundant number, since it is smaller than the sum of its proper divisors (26720804880).

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

9956347632 is a wasteful number, since it uses less digits than its factorization.

9956347632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4799 (or 4774 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The square root of 9956347632 is about 99781.4994475429. The cubic root of 9956347632 is about 2151.2952449197.

The spelling of 9956347632 in words is "nine billion, nine hundred fifty-six million, three hundred forty-seven thousand, six hundred thirty-two".