12738443760 has 240 divisors, whose sum is σ = 49890110400. Its totient is φ = 2911587840.

The previous prime is 12738443737. The next prime is 12738443761. The reversal of 12738443760 is 6734483721.

12738443760 is a `hidden beast` number, since 1 + 273 + 8 + 4 + 4 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12738443761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221170 + ... + 272750.

It is an arithmetic number, because the mean of its divisors is an integer number (207875460).

Almost surely, 2^12738443760 is an apocalyptic number.

12738443760 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 12738443760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24945055200).

12738443760 is an abundant number, since it is smaller than the sum of its proper divisors (37151666640).

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

12738443760 is a wasteful number, since it uses less digits than its factorization.

12738443760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51621 (or 51598 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 12738443760 in words is "twelve billion, seven hundred thirty-eight million, four hundred forty-three thousand, seven hundred sixty".