9365938560 has 384 divisors, whose sum is σ = 36821640960. Its totient is φ = 2171473920.

The previous prime is 9365938559. The next prime is 9365938601. The reversal of 9365938560 is 658395639.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 9365938497 and 9365938506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1454067 + ... + 1460493.

It is an arithmetic number, because the mean of its divisors is an integer number (95889690).

Almost surely, 2^9365938560 is an apocalyptic number.

9365938560 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 9365938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18410820480).

9365938560 is an abundant number, since it is smaller than the sum of its proper divisors (27455702400).

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

9365938560 is a wasteful number, since it uses less digits than its factorization.

9365938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6486 (or 6471 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The square root of 9365938560 is about 96777.7792677637. The cubic root of 9365938560 is about 2107.9020918608.

The spelling of 9365938560 in words is "nine billion, three hundred sixty-five million, nine hundred thirty-eight thousand, five hundred sixty".