9657349632 has 480 divisors, whose sum is σ = 34006975200. Its totient is φ = 2697117696.

The previous prime is 9657349561. The next prime is 9657349693. The reversal of 9657349632 is 2369437569.

9657349632 is a `hidden beast` number, since 9 + 6 + 573 + 4 + 9 + 63 + 2 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35900794 + ... + 35901062.

It is an arithmetic number, because the mean of its divisors is an integer number (70847865).

Almost surely, 2^9657349632 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 9657349632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17003487600).

9657349632 is an abundant number, since it is smaller than the sum of its proper divisors (24349625568).

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

9657349632 is a wasteful number, since it uses less digits than its factorization.

9657349632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 334 counting only the distinct ones).

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

The square root of 9657349632 is about 98271.8150437856. The cubic root of 9657349632 is about 2129.5408968856.

The spelling of 9657349632 in words is "nine billion, six hundred fifty-seven million, three hundred forty-nine thousand, six hundred thirty-two".