9976416576 has 112 divisors (see below), whose sum is σ = 30199486464. Its totient is φ = 2847315456.

The previous prime is 9976416563. The next prime is 9976416577. The reversal of 9976416576 is 6756146799.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9976416577) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1425181 + ... + 1432163.

It is an arithmetic number, because the mean of its divisors is an integer number (269638272).

Almost surely, 2^9976416576 is an apocalyptic number.

9976416576 is a gapful number since it is divisible by the number (96) 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 9976416576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15099743232).

9976416576 is an abundant number, since it is smaller than the sum of its proper divisors (20223069888).

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

9976416576 is a wasteful number, since it uses less digits than its factorization.

9976416576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8068 (or 8058 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 60.

The square root of 9976416576 is about 99882.0132756644. The cubic root of 9976416576 is about 2152.7397253379.

The spelling of 9976416576 in words is "nine billion, nine hundred seventy-six million, four hundred sixteen thousand, five hundred seventy-six".