12724266240 has 576 divisors, whose sum is σ = 52097472000. Its totient is φ = 2880700416.

The previous prime is 12724266239. The next prime is 12724266251. The reversal of 12724266240 is 4266242721.

12724266240 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 4 + 26 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12724266195 and 12724266204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36045904 + ... + 36046256.

It is an arithmetic number, because the mean of its divisors is an integer number (90447000).

Almost surely, 2^12724266240 is an apocalyptic number.

12724266240 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 12724266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26048736000).

12724266240 is an abundant number, since it is smaller than the sum of its proper divisors (39373205760).

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

12724266240 is a wasteful number, since it uses less digits than its factorization.

12724266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 12724266240 in words is "twelve billion, seven hundred twenty-four million, two hundred sixty-six thousand, two hundred forty".