12340737360 has 480 divisors, whose sum is σ = 49248276480. Its totient is φ = 2710858752.

The previous prime is 12340737349. The next prime is 12340737373. The reversal of 12340737360 is 6373704321.

12340737360 is a `hidden beast` number, since 123 + 407 + 3 + 73 + 60 = 666.

12340737360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13975479 + ... + 13976361.

It is an arithmetic number, because the mean of its divisors is an integer number (102600576).

Almost surely, 2^12340737360 is an apocalyptic number.

12340737360 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 12340737360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24624138240).

12340737360 is an abundant number, since it is smaller than the sum of its proper divisors (36907539120).

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

12340737360 is a wasteful number, since it uses less digits than its factorization.

12340737360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

It can be divided in two parts, 12340 and 737360, that added together give a triangular number (749700 = T₁₂₂₄).

The spelling of 12340737360 in words is "twelve billion, three hundred forty million, seven hundred thirty-seven thousand, three hundred sixty".