63128310336 has 560 divisors, whose sum is σ = 235102806400. Its totient is φ = 16643128320.

The previous prime is 63128310257. The next prime is 63128310337. The reversal of 63128310336 is 63301382136.

63128310336 is a `hidden beast` number, since 6 + 3 + 1 + 2 + 8 + 310 + 336 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 63128310336.

It is not an unprimeable number, because it can be changed into a prime (63128310337) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 23114091 + ... + 23116821.

It is an arithmetic number, because the mean of its divisors is an integer number (419826440).

Almost surely, 2^63128310336 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 63128310336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117551403200).

63128310336 is an abundant number, since it is smaller than the sum of its proper divisors (171974496064).

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

63128310336 is a wasteful number, since it uses less digits than its factorization.

63128310336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 63128310336 in words is "sixty-three billion, one hundred twenty-eight million, three hundred ten thousand, three hundred thirty-six".