9976654800 has 540 divisors, whose sum is σ = 42042443040. Its totient is φ = 2180344320.

The previous prime is 9976654771. The next prime is 9976654811. The reversal of 9976654800 is 84566799.

9976654800 is a `hidden beast` number, since 9 + 97 + 6 + 6 + 548 + 0 + 0 = 666.

9976654800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 4055971 + ... + 4058429.

It is an arithmetic number, because the mean of its divisors is an integer number (77856376).

Almost surely, 2^9976654800 is an apocalyptic number.

9976654800 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 9976654800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21021221520).

9976654800 is an abundant number, since it is smaller than the sum of its proper divisors (32065788240).

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

9976654800 is a wasteful number, since it uses less digits than its factorization.

9976654800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 9976654800 is about 99883.2057955691. The cubic root of 9976654800 is about 2152.7568600870.

The spelling of 9976654800 in words is "nine billion, nine hundred seventy-six million, six hundred fifty-four thousand, eight hundred".