432786352260864 has 288 divisors, whose sum is σ = 1343331372902400. Its totient is φ = 123646393651200.

The previous prime is 432786352260863. The next prime is 432786352260869. The reversal of 432786352260864 is 468062253687234.

It is a junction number, because it is equal to n+sod(n) for n = 432786352260795 and 432786352260804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432786352260863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6538414009 + ... + 6538480199.

It is an arithmetic number, because the mean of its divisors is an integer number (4664345044800).

Almost surely, 2^{432786352260864} 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 432786352260864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671665686451200).

432786352260864 is an abundant number, since it is smaller than the sum of its proper divisors (910545020641536).

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

432786352260864 is an equidigital number, since it uses as much as digits as its factorization.

432786352260864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91052 (or 91024 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 66.

The spelling of 432786352260864 in words is "four hundred thirty-two trillion, seven hundred eighty-six billion, three hundred fifty-two million, two hundred sixty thousand, eight hundred sixty-four".