12633344640 has 576 divisors, whose sum is σ = 53752406760. Its totient is φ = 2716729344.

The previous prime is 12633344621. The next prime is 12633344651. The reversal of 12633344640 is 4644333621.

12633344640 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 3 + 3 + 4 + 4 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9725115456 + 2908229184 = 98616^2 + 53928^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 12633344595 and 12633344604.

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 71 ways as a sum of consecutive naturals, for example, 4796764 + ... + 4799396.

Almost surely, 2^12633344640 is an apocalyptic number.

12633344640 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 12633344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26876203380).

12633344640 is an abundant number, since it is smaller than the sum of its proper divisors (41119062120).

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

12633344640 is a wasteful number, since it uses less digits than its factorization.

12633344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 12633344640 in words is "twelve billion, six hundred thirty-three million, three hundred forty-four thousand, six hundred forty".