63887745634128 has 320 divisors, whose sum is σ = 208007136691200. Its totient is φ = 18611925050880.

The previous prime is 63887745634099. The next prime is 63887745634169. The reversal of 63887745634128 is 82143654778836.

63887745634128 is a `hidden beast` number, since 6 + 3 + 8 + 87 + 74 + 5 + 63 + 412 + 8 = 666.

It is a super-2 number, since 2×63887745634128² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177695983 + ... + 178055153.

It is an arithmetic number, because the mean of its divisors is an integer number (650022302160).

Almost surely, 2^{63887745634128} 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 63887745634128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104003568345600).

63887745634128 is an abundant number, since it is smaller than the sum of its proper divisors (144119391057072).

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

63887745634128 is a wasteful number, since it uses less digits than its factorization.

63887745634128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360887 (or 360875 counting only the distinct ones).

The product of its digits is 1300561920, while the sum is 72.

The spelling of 63887745634128 in words is "sixty-three trillion, eight hundred eighty-seven billion, seven hundred forty-five million, six hundred thirty-four thousand, one hundred twenty-eight".