12330639360 has 672 divisors, whose sum is σ = 48088954368. Its totient is φ = 2901934080.

The previous prime is 12330639353. The next prime is 12330639371. The reversal of 12330639360 is 6393603321.

12330639360 is a `hidden beast` number, since 1 + 233 + 0 + 63 + 9 + 360 = 666.

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

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, 148561879 + ... + 148561961.

It is an arithmetic number, because the mean of its divisors is an integer number (71560944).

Almost surely, 2^12330639360 is an apocalyptic number.

12330639360 is a gapful number since it is divisible by the number (10) 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 12330639360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24044477184).

12330639360 is an abundant number, since it is smaller than the sum of its proper divisors (35758315008).

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

12330639360 is a wasteful number, since it uses less digits than its factorization.

12330639360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The spelling of 12330639360 in words is "twelve billion, three hundred thirty million, six hundred thirty-nine thousand, three hundred sixty".