9953680800 has 576 divisors, whose sum is σ = 38757519360. Its totient is φ = 2171473920.

The previous prime is 9953680757. The next prime is 9953680801. The reversal of 9953680800 is 80863599.

It is a super-3 number, since 3×9953680800³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 9953680800.

It is not an unprimeable number, because it can be changed into a prime (9953680801) 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 95 ways as a sum of consecutive naturals, for example, 41647081 + ... + 41647319.

It is an arithmetic number, because the mean of its divisors is an integer number (67287360).

Almost surely, 2^9953680800 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 9953680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19378759680).

9953680800 is an abundant number, since it is smaller than the sum of its proper divisors (28803838560).

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

9953680800 is a wasteful number, since it uses less digits than its factorization.

9953680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 9953680800 is about 99768.1351935577. The cubic root of 9953680800 is about 2151.1031512081.

The spelling of 9953680800 in words is "nine billion, nine hundred fifty-three million, six hundred eighty thousand, eight hundred".