12763643904 has 480 divisors, whose sum is σ = 42906420480. Its totient is φ = 3715891200.

The previous prime is 12763643887. The next prime is 12763643909. The reversal of 12763643904 is 40934636721.

12763643904 is a `hidden beast` number, since 1 + 2 + 7 + 636 + 4 + 3 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×12763643904² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12763643904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12763643909) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209240034 + ... + 209240094.

It is an arithmetic number, because the mean of its divisors is an integer number (89388376).

Almost surely, 2^12763643904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12763643904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21453210240).

12763643904 is an abundant number, since it is smaller than the sum of its proper divisors (30142776576).

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

12763643904 is an equidigital number, since it uses as much as digits as its factorization.

12763643904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 12763643904 in words is "twelve billion, seven hundred sixty-three million, six hundred forty-three thousand, nine hundred four".