9753938880 has 224 divisors, whose sum is σ = 36614039040. Its totient is φ = 2152550400.

The previous prime is 9753938879. The next prime is 9753938893. The reversal of 9753938880 is 888393579.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (60).

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 31 ways as a sum of consecutive naturals, for example, 169855 + ... + 219905.

Almost surely, 2^9753938880 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 9753938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18307019520).

9753938880 is an abundant number, since it is smaller than the sum of its proper divisors (26860100160).

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

9753938880 is a wasteful number, since it uses less digits than its factorization.

9753938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50107 (or 50097 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The square root of 9753938880 is about 98762.0315708420. The cubic root of 9753938880 is about 2136.6169857042.

The spelling of 9753938880 in words is "nine billion, seven hundred fifty-three million, nine hundred thirty-eight thousand, eight hundred eighty".