12461627640 has 256 divisors, whose sum is σ = 49352094720. Its totient is φ = 2437079040.

The previous prime is 12461627561. The next prime is 12461627701. The reversal of 12461627640 is 4672616421.

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, 117414 + ... + 196746.

It is an arithmetic number, because the mean of its divisors is an integer number (192781620).

Almost surely, 2^12461627640 is an apocalyptic number.

12461627640 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 12461627640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24676047360).

12461627640 is an abundant number, since it is smaller than the sum of its proper divisors (36890467080).

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

12461627640 is a wasteful number, since it uses less digits than its factorization.

12461627640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79382 (or 79378 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 12461627640 in words is "twelve billion, four hundred sixty-one million, six hundred twenty-seven thousand, six hundred forty".