12633511680 has 288 divisors, whose sum is σ = 45394950720. Its totient is φ = 3368189952.

The previous prime is 12633511669. The next prime is 12633511717. The reversal of 12633511680 is 8611533621.

12633511680 is a `hidden beast` number, since 1 + 2 + 63 + 3 + 511 + 6 + 80 = 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2797104 + ... + 2801616.

Almost surely, 2^12633511680 is an apocalyptic number.

12633511680 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 12633511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22697475360).

12633511680 is an abundant number, since it is smaller than the sum of its proper divisors (32761439040).

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

12633511680 is an frugal number, since it uses more digits than its factorization.

12633511680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4555 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12633511680 in words is "twelve billion, six hundred thirty-three million, five hundred eleven thousand, six hundred eighty".