9178788960 has 288 divisors, whose sum is σ = 34459719840. Its totient is φ = 2224696320.

The previous prime is 9178788959. The next prime is 9178788989. The reversal of 9178788960 is 698878719.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1914246 + ... + 1919034.

It is an arithmetic number, because the mean of its divisors is an integer number (119651805).

Almost surely, 2^9178788960 is an apocalyptic number.

9178788960 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 9178788960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17229859920).

9178788960 is an abundant number, since it is smaller than the sum of its proper divisors (25280930880).

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

9178788960 is a wasteful number, since it uses less digits than its factorization.

9178788960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4843 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The square root of 9178788960 is about 95805.9964720372. The cubic root of 9178788960 is about 2093.7675349419.

The spelling of 9178788960 in words is "nine billion, one hundred seventy-eight million, seven hundred eighty-eight thousand, nine hundred sixty".