9338664960 has 432 divisors, whose sum is σ = 33851071800. Its totient is φ = 2472394752.

The previous prime is 9338664943. The next prime is 9338664991. The reversal of 9338664960 is 694668339.

It is a happy number.

9338664960 is a `hidden beast` number, since 93 + 3 + 8 + 66 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 = 9338664897 and 9338664906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67184571 + ... + 67184709.

Almost surely, 2^9338664960 is an apocalyptic number.

9338664960 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 9338664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16925535900).

9338664960 is an abundant number, since it is smaller than the sum of its proper divisors (24512406840).

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

9338664960 is an frugal number, since it uses more digits than its factorization.

9338664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The square root of 9338664960 is about 96636.7681578808. The cubic root of 9338664960 is about 2105.8540332758.

The spelling of 9338664960 in words is "nine billion, three hundred thirty-eight million, six hundred sixty-four thousand, nine hundred sixty".