12724517740 has 192 divisors, whose sum is σ = 31585075200. Its totient is φ = 4256582400.

The previous prime is 12724517657. The next prime is 12724517747. The reversal of 12724517740 is 4771542721.

It is a junction number, because it is equal to n+sod(n) for n = 12724517693 and 12724517702.

It is not an unprimeable number, because it can be changed into a prime (12724517747) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46953805 + ... + 46954075.

It is an arithmetic number, because the mean of its divisors is an integer number (164505600).

Almost surely, 2^12724517740 is an apocalyptic number.

12724517740 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 12724517740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15792537600).

12724517740 is an abundant number, since it is smaller than the sum of its proper divisors (18860557460).

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

12724517740 is a wasteful number, since it uses less digits than its factorization.

12724517740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 40.

The spelling of 12724517740 in words is "twelve billion, seven hundred twenty-four million, five hundred seventeen thousand, seven hundred forty".