432560382768 has 60 divisors (see below), whose sum is σ = 1233409226400. Its totient is φ = 141466286208.

The previous prime is 432560382731. The next prime is 432560382827. The reversal of 432560382768 is 867283065234.

432560382768 is a `hidden beast` number, since 4 + 3 + 2 + 5 + 603 + 8 + 27 + 6 + 8 = 666.

It is a super-3 number, since 3×432560382768³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 28330968 + ... + 28346231.

It is an arithmetic number, because the mean of its divisors is an integer number (20556820440).

Almost surely, 2^432560382768 is an apocalyptic number.

432560382768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

432560382768 is an abundant number, since it is smaller than the sum of its proper divisors (800848843632).

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

432560382768 is a wasteful number, since it uses less digits than its factorization.

432560382768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56677266 (or 56677257 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 432560382768 in words is "four hundred thirty-two billion, five hundred sixty million, three hundred eighty-two thousand, seven hundred sixty-eight".