12032465760 has 336 divisors, whose sum is σ = 48712509216. Its totient is φ = 2750091264.

The previous prime is 12032465759. The next prime is 12032465771. The reversal of 12032465760 is 6756423021.

12032465760 is a `hidden beast` number, since 12 + 0 + 32 + 46 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 55 ways as a sum of consecutive naturals, for example, 809112 + ... + 823848.

It is an arithmetic number, because the mean of its divisors is an integer number (144977706).

Almost surely, 2^12032465760 is an apocalyptic number.

12032465760 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 12032465760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24356254608).

12032465760 is an abundant number, since it is smaller than the sum of its proper divisors (36680043456).

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

12032465760 is an equidigital number, since it uses as much as digits as its factorization.

12032465760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14777 (or 14754 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 12032465760 its reverse (6756423021), we get a palindrome (18788888781).

The spelling of 12032465760 in words is "twelve billion, thirty-two million, four hundred sixty-five thousand, seven hundred sixty".