9768665088 has 486 divisors, whose sum is σ = 35547377229. Its totient is φ = 2576351232.

The previous prime is 9768665083. The next prime is 9768665107. The reversal of 9768665088 is 8805668679.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

9768665088 is a `hidden beast` number, since 9 + 7 + 68 + 66 + 508 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8352497664 + 1416167424 = 91392^2 + 37632^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=69888.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (9768665083) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 751435770 + ... + 751435782.

Almost surely, 2^9768665088 is an apocalyptic number.

9768665088 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9768665088

9768665088 is an abundant number, since it is smaller than the sum of its proper divisors (25778712141).

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

9768665088 is an equidigital number, since it uses as much as digits as its factorization.

9768665088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The square root of 9768665088 is about 98836.5574471309. The cubic root of 9768665088 is about 2137.6917120344.

The spelling of 9768665088 in words is "nine billion, seven hundred sixty-eight million, six hundred sixty-five thousand, eighty-eight".