12636735510672 has 640 divisors, whose sum is σ = 46964994048000. Its totient is φ = 3163285923840.

The previous prime is 12636735510667. The next prime is 12636735510719. The reversal of 12636735510672 is 27601553763621.

12636735510672 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 67 + 3 + 5 + 510 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67168897 + ... + 67356767.

It is an arithmetic number, because the mean of its divisors is an integer number (73382803200).

Almost surely, 2^{12636735510672} is an apocalyptic number.

12636735510672 is a gapful number since it is divisible by the number (12) 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 12636735510672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23482497024000).

12636735510672 is an abundant number, since it is smaller than the sum of its proper divisors (34328258537328).

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

12636735510672 is a wasteful number, since it uses less digits than its factorization.

12636735510672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187996 (or 187984 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 12636735510672 in words is "twelve trillion, six hundred thirty-six billion, seven hundred thirty-five million, five hundred ten thousand, six hundred seventy-two".