432257901768 has 576 divisors, whose sum is σ = 1556819896320. Its totient is φ = 106937107200.

The previous prime is 432257901697. The next prime is 432257901769. The reversal of 432257901768 is 867109752234.

It is a happy number.

432257901768 is a `hidden beast` number, since 4 + 3 + 2 + 2 + 579 + 0 + 1 + 7 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (432257901769) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 241889371 + ... + 241891157.

It is an arithmetic number, because the mean of its divisors is an integer number (2702812320).

It is a 1-persistent number, because it is pandigital, but 2⋅432257901768 = 864515803536 is not.

Almost surely, 2^432257901768 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 432257901768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778409948160).

432257901768 is an abundant number, since it is smaller than the sum of its proper divisors (1124561994552).

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

432257901768 is a wasteful number, since it uses less digits than its factorization.

432257901768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

It can be divided in two parts, 432257 and 901768, that added together give a square (1334025 = 1155²).

The spelling of 432257901768 in words is "four hundred thirty-two billion, two hundred fifty-seven million, nine hundred one thousand, seven hundred sixty-eight".