9973604640 has 384 divisors, whose sum is σ = 34062336000. Its totient is φ = 2445520896.

The previous prime is 9973604623. The next prime is 9973604653. The reversal of 9973604640 is 464063799.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9973604640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78532257 + ... + 78532383.

It is an arithmetic number, because the mean of its divisors is an integer number (88704000).

Almost surely, 2^9973604640 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 9973604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17031168000).

9973604640 is an abundant number, since it is smaller than the sum of its proper divisors (24088731360).

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

9973604640 is a wasteful number, since it uses less digits than its factorization.

9973604640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 9973604640 is about 99867.9359954936. The cubic root of 9973604640 is about 2152.5374504661.

The spelling of 9973604640 in words is "nine billion, nine hundred seventy-three million, six hundred four thousand, six hundred forty".