63444773242368 has 320 divisors, whose sum is σ = 216713456593920. Its totient is φ = 17951084199936.

The previous prime is 63444773242313. The next prime is 63444773242511. The reversal of 63444773242368 is 86324237744436.

63444773242368 is a `hidden beast` number, since 6 + 3 + 4 + 4 + 4 + 77 + 324 + 236 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6784396 + ... + 13149812.

It is an arithmetic number, because the mean of its divisors is an integer number (677229551856).

Almost surely, 2^{63444773242368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63444773242368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108356728296960).

63444773242368 is an abundant number, since it is smaller than the sum of its proper divisors (153268683351552).

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

63444773242368 is a wasteful number, since it uses less digits than its factorization.

63444773242368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6365554 (or 6365532 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 63.

The spelling of 63444773242368 in words is "sixty-three trillion, four hundred forty-four billion, seven hundred seventy-three million, two hundred forty-two thousand, three hundred sixty-eight".