63152836428864 has 1792 divisors, whose sum is σ = 225886587494400. Its totient is φ = 15202186002432.

The previous prime is 63152836428779. The next prime is 63152836428923. The reversal of 63152836428864 is 46882463825136.

It is a junction number, because it is equal to n+sod(n) for n = 63152836428795 and 63152836428804.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 199220304034 + ... + 199220304350.

It is an arithmetic number, because the mean of its divisors is an integer number (126052783200).

Almost surely, 2^{63152836428864} is an apocalyptic number.

63152836428864 is a gapful number since it is divisible by the number (64) 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 63152836428864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112943293747200).

63152836428864 is an abundant number, since it is smaller than the sum of its proper divisors (162733751065536).

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

63152836428864 is a wasteful number, since it uses less digits than its factorization.

63152836428864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 481 counting only the distinct ones).

The product of its digits is 318504960, while the sum is 66.

The spelling of 63152836428864 in words is "sixty-three trillion, one hundred fifty-two billion, eight hundred thirty-six million, four hundred twenty-eight thousand, eight hundred sixty-four".