9657565632 has 896 divisors, whose sum is σ = 37483084800. Its totient is φ = 2408693760.

The previous prime is 9657565601. The next prime is 9657565633. The reversal of 9657565632 is 2365657569.

It is a happy number.

9657565632 is a `hidden beast` number, since 9 + 6 + 5 + 75 + 6 + 563 + 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 not an unprimeable number, because it can be changed into a prime (9657565633) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 508292919 + ... + 508292937.

It is an arithmetic number, because the mean of its divisors is an integer number (41833800).

Almost surely, 2^9657565632 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 9657565632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18741542400).

9657565632 is an abundant number, since it is smaller than the sum of its proper divisors (27825519168).

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

9657565632 is a wasteful number, since it uses less digits than its factorization.

9657565632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 65 counting only the distinct ones).

The product of its digits is 10206000, while the sum is 54.

The square root of 9657565632 is about 98272.9140302657. The cubic root of 9657565632 is about 2129.5567734777.

The spelling of 9657565632 in words is "nine billion, six hundred fifty-seven million, five hundred sixty-five thousand, six hundred thirty-two".