12735732408 has 256 divisors, whose sum is σ = 39267072000. Its totient is φ = 3363047424.

The previous prime is 12735732367. The next prime is 12735732409. The reversal of 12735732408 is 80423753721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 12735732408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12735732409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32739478 + ... + 32739866.

It is an arithmetic number, because the mean of its divisors is an integer number (153387000).

Almost surely, 2^12735732408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12735732408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19633536000).

12735732408 is an abundant number, since it is smaller than the sum of its proper divisors (26531339592).

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

12735732408 is a wasteful number, since it uses less digits than its factorization.

12735732408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 12735732408 in words is "twelve billion, seven hundred thirty-five million, seven hundred thirty-two thousand, four hundred eight".