12638756240 has 80 divisors (see below), whose sum is σ = 32111337600. Its totient is φ = 4588047360.

The previous prime is 12638756239. The next prime is 12638756257. The reversal of 12638756240 is 4265783621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 12638756191 and 12638756200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515132 + ... + 539108.

It is an arithmetic number, because the mean of its divisors is an integer number (401391720).

Almost surely, 2^12638756240 is an apocalyptic number.

12638756240 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 12638756240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16055668800).

12638756240 is an abundant number, since it is smaller than the sum of its proper divisors (19472581360).

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

12638756240 is a wasteful number, since it uses less digits than its factorization.

12638756240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24600 (or 24594 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 12638756240 in words is "twelve billion, six hundred thirty-eight million, seven hundred fifty-six thousand, two hundred forty".