9976690080 has 384 divisors, whose sum is σ = 40727232000. Its totient is φ = 2280047616.

The previous prime is 9976690063. The next prime is 9976690081. The reversal of 9976690080 is 800966799.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9976689999 and 9976690026.

It is not an unprimeable number, because it can be changed into a prime (9976690081) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1478394 + ... + 1485126.

It is an arithmetic number, because the mean of its divisors is an integer number (106060500).

Almost surely, 2^9976690080 is an apocalyptic number.

9976690080 is a gapful number since it is divisible by the number (90) 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 9976690080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20363616000).

9976690080 is an abundant number, since it is smaller than the sum of its proper divisors (30750541920).

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

9976690080 is a wasteful number, since it uses less digits than its factorization.

9976690080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6778 (or 6750 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 9976690080 is about 99883.3824016788. The cubic root of 9976690080 is about 2152.7593976501.

The spelling of 9976690080 in words is "nine billion, nine hundred seventy-six million, six hundred ninety thousand, eighty".