9530339904064 has 168 divisors, whose sum is σ = 23160930320160. Its totient is φ = 3868849281024.

The previous prime is 9530339904047. The next prime is 9530339904077. The reversal of 9530339904064 is 4604099330359.

It is a super-2 number, since 2×9530339904064² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9530339903996 and 9530339904014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 737464707 + ... + 737477629.

Almost surely, 2^{9530339904064} 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 9530339904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11580465160080).

9530339904064 is an abundant number, since it is smaller than the sum of its proper divisors (13630590416096).

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

9530339904064 is a wasteful number, since it uses less digits than its factorization.

9530339904064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25345 (or 25328 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 55.

The spelling of 9530339904064 in words is "nine trillion, five hundred thirty billion, three hundred thirty-nine million, nine hundred four thousand, sixty-four".