63801162432 has 672 divisors, whose sum is σ = 229634076672. Its totient is φ = 17170154496.

The previous prime is 63801162421. The next prime is 63801162437. The reversal of 63801162432 is 23426110836.

63801162432 is a `hidden beast` number, since 63 + 8 + 0 + 1 + 162 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (63801162437) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 207821223 + ... + 207821529.

It is an arithmetic number, because the mean of its divisors is an integer number (341717376).

Almost surely, 2^63801162432 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 63801162432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114817038336).

63801162432 is an abundant number, since it is smaller than the sum of its proper divisors (165832914240).

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

63801162432 is a wasteful number, since it uses less digits than its factorization.

63801162432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 63801162432 in words is "sixty-three billion, eight hundred one million, one hundred sixty-two thousand, four hundred thirty-two".