12763875740 has 288 divisors, whose sum is σ = 36290358720. Its totient is φ = 3728793600.

The previous prime is 12763875701. The next prime is 12763875779. The reversal of 12763875740 is 4757836721.

It is a happy number.

12763875740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12763875701) and next prime (12763875779).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52962020 + ... + 52962260.

It is an arithmetic number, because the mean of its divisors is an integer number (126008190).

Almost surely, 2^12763875740 is an apocalyptic number.

12763875740 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 12763875740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18145179360).

12763875740 is an abundant number, since it is smaller than the sum of its proper divisors (23526482980).

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

12763875740 is a wasteful number, since it uses less digits than its factorization.

12763875740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 50.

The spelling of 12763875740 in words is "twelve billion, seven hundred sixty-three million, eight hundred seventy-five thousand, seven hundred forty".