432677506068 has 144 divisors (see below), whose sum is σ = 1190917728000. Its totient is φ = 131940931584.

The previous prime is 432677506067. The next prime is 432677506081. The reversal of 432677506068 is 860605776234.

432677506068 is a `hidden beast` number, since 4 + 3 + 2 + 6 + 77 + 506 + 0 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432677506067) 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 47 ways as a sum of consecutive naturals, for example, 3146293 + ... + 3280931.

It is an arithmetic number, because the mean of its divisors is an integer number (8270262000).

Almost surely, 2^432677506068 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 432677506068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595458864000).

432677506068 is an abundant number, since it is smaller than the sum of its proper divisors (758240221932).

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

432677506068 is a wasteful number, since it uses less digits than its factorization.

432677506068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134814 (or 134809 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 432677506068 in words is "four hundred thirty-two billion, six hundred seventy-seven million, five hundred six thousand, sixty-eight".