12682639710 has 384 divisors, whose sum is σ = 39520825344. Its totient is φ = 2791895040.

The previous prime is 12682639681. The next prime is 12682639729. The reversal of 12682639710 is 1793628621.

12682639710 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 2 + 639 + 7 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41311377 + ... + 41311683.

It is an arithmetic number, because the mean of its divisors is an integer number (102918816).

Almost surely, 2^12682639710 is an apocalyptic number.

12682639710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12682639710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19760412672).

12682639710 is an abundant number, since it is smaller than the sum of its proper divisors (26838185634).

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

12682639710 is a wasteful number, since it uses less digits than its factorization.

12682639710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12682639710 in words is "twelve billion, six hundred eighty-two million, six hundred thirty-nine thousand, seven hundred ten".