12734237560 has 256 divisors, whose sum is σ = 33589987200. Its totient is φ = 4300800000.

The previous prime is 12734237557. The next prime is 12734237563. The reversal of 12734237560 is 6573243721.

12734237560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12734237557) and next prime (12734237563).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12734237563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52839040 + ... + 52839280.

Almost surely, 2^12734237560 is an apocalyptic number.

12734237560 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 12734237560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16794993600).

12734237560 is an abundant number, since it is smaller than the sum of its proper divisors (20855749640).

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

12734237560 is a wasteful number, since it uses less digits than its factorization.

12734237560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The spelling of 12734237560 in words is "twelve billion, seven hundred thirty-four million, two hundred thirty-seven thousand, five hundred sixty".