9976628768 has 18 divisors (see below), whose sum is σ = 19642600341. Its totient is φ = 4988031872.

The previous prime is 9976628713. The next prime is 9976628773. The reversal of 9976628768 is 8678266799.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 8225038864 + 1751589904 = 90692^2 + 41852^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=70628.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9976628698 and 9976628707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 556196 + ... + 573852.

Almost surely, 2^9976628768 is an apocalyptic number.

It is an amenable number.

9976628768 is a deficient number, since it is larger than the sum of its proper divisors (9665971573).

9976628768 is an frugal number, since it uses more digits than its factorization.

9976628768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35324 (or 17659 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 68.

The square root of 9976628768 is about 99883.0754832870. The cubic root of 9976628768 is about 2152.7549876954.

The spelling of 9976628768 in words is "nine billion, nine hundred seventy-six million, six hundred twenty-eight thousand, seven hundred sixty-eight".