63531433728 has 540 divisors, whose sum is σ = 227589523392. Its totient is φ = 17557585920.

The previous prime is 63531433717. The next prime is 63531433739. The reversal of 63531433728 is 82733413536.

63531433728 is a `hidden beast` number, since 6 + 3 + 531 + 43 + 3 + 72 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (63531433717) and next prime (63531433739).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 31496976 + ... + 31498992.

Almost surely, 2^63531433728 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 63531433728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113794761696).

63531433728 is an abundant number, since it is smaller than the sum of its proper divisors (164058089664).

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

63531433728 is a wasteful number, since it uses less digits than its factorization.

63531433728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2060 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The spelling of 63531433728 in words is "sixty-three billion, five hundred thirty-one million, four hundred thirty-three thousand, seven hundred twenty-eight".