9662765952 has 128 divisors (see below), whose sum is σ = 29423197440. Its totient is φ = 2752339968.

The previous prime is 9662765921. The next prime is 9662765953. The reversal of 9662765952 is 2595672669.

9662765952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 9662765892 and 9662765901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9662765953) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 900523 + ... + 911189.

It is an arithmetic number, because the mean of its divisors is an integer number (229868730).

Almost surely, 2^9662765952 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 9662765952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14711598720).

9662765952 is an abundant number, since it is smaller than the sum of its proper divisors (19760431488).

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

9662765952 is a wasteful number, since it uses less digits than its factorization.

9662765952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11028 (or 11016 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 57.

The square root of 9662765952 is about 98299.3690315457. The cubic root of 9662765952 is about 2129.9389398177.

The spelling of 9662765952 in words is "nine billion, six hundred sixty-two million, seven hundred sixty-five thousand, nine hundred fifty-two".