63648222768 has 400 divisors, whose sum is σ = 213558893856. Its totient is φ = 18124922880.

The previous prime is 63648222749. The next prime is 63648222773. The reversal of 63648222768 is 86722284636.

63648222768 is a `hidden beast` number, since 6 + 364 + 8 + 2 + 2 + 276 + 8 = 666.

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

63648222768 is a modest number, since divided by 222768 gives 63648 as remainder.

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 79 ways as a sum of consecutive naturals, for example, 17469555 + ... + 17473197.

Almost surely, 2^63648222768 is an apocalyptic number.

63648222768 is a gapful number since it is divisible by the number (68) 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 63648222768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106779446928).

63648222768 is an abundant number, since it is smaller than the sum of its proper divisors (149910671088).

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

63648222768 is a wasteful number, since it uses less digits than its factorization.

63648222768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754 (or 3739 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 63648222768 in words is "sixty-three billion, six hundred forty-eight million, two hundred twenty-two thousand, seven hundred sixty-eight".