12780633600 has 720 divisors, whose sum is σ = 54300774528. Its totient is φ = 2916311040.

The previous prime is 12780633599. The next prime is 12780633623. The reversal of 12780633600 is 633608721.

It is a happy number.

12780633600 is a `hidden beast` number, since 12 + 7 + 8 + 0 + 6 + 33 + 600 = 666.

12780633600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21772507 + ... + 21773093.

Almost surely, 2^12780633600 is an apocalyptic number.

12780633600 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 12780633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27150387264).

12780633600 is an abundant number, since it is smaller than the sum of its proper divisors (41520140928).

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

12780633600 is an frugal number, since it uses more digits than its factorization.

12780633600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 12780633600 in words is "twelve billion, seven hundred eighty million, six hundred thirty-three thousand, six hundred".