63768256200000 has 504 divisors, whose sum is σ = 249229842956640. Its totient is φ = 15458966400000.

The previous prime is 63768256199987. The next prime is 63768256200001. The reversal of 63768256200000 is 265286736.

It is a happy number.

63768256200000 is a `hidden beast` number, since 6 + 3 + 7 + 6 + 82 + 562 + 0 + 0 + 0 + 0 + 0 = 666.

63768256200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63768256200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18189691 + ... + 21410309.

It is an arithmetic number, because the mean of its divisors is an integer number (494503656660).

Almost surely, 2^{63768256200000} is an apocalyptic number.

63768256200000 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 63768256200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124614921478320).

63768256200000 is an abundant number, since it is smaller than the sum of its proper divisors (185461586756640).

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

63768256200000 is a wasteful number, since it uses less digits than its factorization.

63768256200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220673 (or 3220640 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 63768256200000 in words is "sixty-three trillion, seven hundred sixty-eight billion, two hundred fifty-six million, two hundred thousand".