9538680960 has 512 divisors, whose sum is σ = 37674720000. Its totient is φ = 2266693632.

The previous prime is 9538680953. The next prime is 9538680971. The reversal of 9538680960 is 690868359.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9538680897 and 9538680906.

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, 5580586 + ... + 5582294.

Almost surely, 2^9538680960 is an apocalyptic number.

9538680960 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 9538680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18837360000).

9538680960 is an abundant number, since it is smaller than the sum of its proper divisors (28136039040).

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

9538680960 is a wasteful number, since it uses less digits than its factorization.

9538680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 9538680960 is about 97666.1710112565. The cubic root of 9538680960 is about 2120.7823859609.

The spelling of 9538680960 in words is "nine billion, five hundred thirty-eight million, six hundred eighty thousand, nine hundred sixty".