432765296640 has 280 divisors, whose sum is σ = 1551460925520. Its totient is φ = 115403194368.

The previous prime is 432765296597. The next prime is 432765296659. The reversal of 432765296640 is 46692567234.

432765296640 is a `hidden beast` number, since 4 + 3 + 2 + 76 + 529 + 6 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3252541 + ... + 3382979.

Almost surely, 2^432765296640 is an apocalyptic number.

432765296640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432765296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775730462760).

432765296640 is an abundant number, since it is smaller than the sum of its proper divisors (1118695628880).

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

432765296640 is an equidigital number, since it uses as much as digits as its factorization.

432765296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130482 (or 130449 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 432765296640 in words is "four hundred thirty-two billion, seven hundred sixty-five million, two hundred ninety-six thousand, six hundred forty".