12736656240 has 240 divisors, whose sum is σ = 50105900160. Its totient is φ = 2646551040.

The previous prime is 12736656221. The next prime is 12736656269. The reversal of 12736656240 is 4265663721.

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

It is a super-4 number, since 4×12736656240⁴ (a number of 42 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12736656192 and 12736656201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80131 + ... + 178589.

It is an arithmetic number, because the mean of its divisors is an integer number (208774584).

Almost surely, 2^12736656240 is an apocalyptic number.

12736656240 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 12736656240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25052950080).

12736656240 is an abundant number, since it is smaller than the sum of its proper divisors (37369243920).

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

12736656240 is a wasteful number, since it uses less digits than its factorization.

12736656240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98500 (or 98487 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 12736656240 in words is "twelve billion, seven hundred thirty-six million, six hundred fifty-six thousand, two hundred forty".