12735232640 has 128 divisors (see below), whose sum is σ = 33010362000. Its totient is φ = 4670226432.

The previous prime is 12735232591. The next prime is 12735232693. The reversal of 12735232640 is 4623253721.

It can be written as a sum of positive squares in 8 ways, for example, as 303874624 + 12431358016 = 17432^2 + 111496^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 12735232640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1234544 + ... + 1244816.

Almost surely, 2^12735232640 is an apocalyptic number.

12735232640 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 12735232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16505181000).

12735232640 is an abundant number, since it is smaller than the sum of its proper divisors (20275129360).

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

12735232640 is a wasteful number, since it uses less digits than its factorization.

12735232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10454 (or 10442 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The spelling of 12735232640 in words is "twelve billion, seven hundred thirty-five million, two hundred thirty-two thousand, six hundred forty".