9974664800 has 72 divisors (see below), whose sum is σ = 24404828616. Its totient is φ = 3980989440.

The previous prime is 9974664797. The next prime is 9974664839. The reversal of 9974664800 is 84664799.

It is a happy number.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 351959 + ... + 379241.

It is an arithmetic number, because the mean of its divisors is an integer number (338955953).

Almost surely, 2^9974664800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9974664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12202414308).

9974664800 is an abundant number, since it is smaller than the sum of its proper divisors (14430163816).

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

9974664800 is a wasteful number, since it uses less digits than its factorization.

9974664800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27760 (or 27747 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 53.

The square root of 9974664800 is about 99873.2436641566. The cubic root of 9974664800 is about 2152.6137168824.

The spelling of 9974664800 in words is "nine billion, nine hundred seventy-four million, six hundred sixty-four thousand, eight hundred".