12763900800 has 288 divisors, whose sum is σ = 52051705680. Its totient is φ = 2917416960.

The previous prime is 12763900741. The next prime is 12763900811. The reversal of 12763900800 is 800936721.

12763900800 is a `hidden beast` number, since 12 + 7 + 639 + 0 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169944 + ... + 233256.

Almost surely, 2^12763900800 is an apocalyptic number.

12763900800 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 12763900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26025852840).

12763900800 is an abundant number, since it is smaller than the sum of its proper divisors (39287804880).

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

12763900800 is a wasteful number, since it uses less digits than its factorization.

12763900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63350 (or 63330 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 12763900800 in words is "twelve billion, seven hundred sixty-three million, nine hundred thousand, eight hundred".