9381960000 has 1120 divisors, whose sum is σ = 42277466880. Its totient is φ = 1990656000.

The previous prime is 9381959987. The next prime is 9381960023. The reversal of 9381960000 is 691839.

9381960000 is a `hidden beast` number, since 9 + 38 + 19 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-3 number, since 3×9381960000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 128519964 + ... + 128520036.

Almost surely, 2^9381960000 is an apocalyptic number.

9381960000 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 9381960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21138733440).

9381960000 is an abundant number, since it is smaller than the sum of its proper divisors (32895506880).

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

9381960000 is a wasteful number, since it uses less digits than its factorization.

9381960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9381960000 is about 96860.5182724107. The cubic root of 9381960000 is about 2109.1033378542.

The spelling of 9381960000 in words is "nine billion, three hundred eighty-one million, nine hundred sixty thousand".