63645120000000 has 3744 divisors, whose sum is σ = 298733964145344. Its totient is φ = 12902400000000.

The previous prime is 63645119999957. The next prime is 63645120000013. The reversal of 63645120000000 is 2154636.

63645120000000 is a `hidden beast` number, since 6 + 3 + 6 + 451 + 200 + 0 + 0 + 0 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 1552319999980 + ... + 1552320000020.

It is an arithmetic number, because the mean of its divisors is an integer number (79790054526).

Almost surely, 2^{63645120000000} is an apocalyptic number.

63645120000000 is a gapful number since it is divisible by the number (60) 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 63645120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149366982072672).

63645120000000 is an abundant number, since it is smaller than the sum of its proper divisors (235088844145344).

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

63645120000000 is an frugal number, since it uses more digits than its factorization.

63645120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 63645120000000 its reverse (2154636), we get a palindrome (63645122154636).

The spelling of 63645120000000 in words is "sixty-three trillion, six hundred forty-five billion, one hundred twenty million", and thus it is an aban number.