432782328583872 has 560 divisors, whose sum is σ = 1419176016445440. Its totient is φ = 129881896962048.

The previous prime is 432782328583817. The next prime is 432782328583889. The reversal of 432782328583872 is 278385823287234.

432782328583872 is a `hidden beast` number, since 4 + 3 + 2 + 7 + 8 + 2 + 32 + 8 + 583 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 432782328583872.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 155326273 + ... + 158087999.

Almost surely, 2^{432782328583872} 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 432782328583872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709588008222720).

432782328583872 is an abundant number, since it is smaller than the sum of its proper divisors (986393687861568).

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

432782328583872 is a wasteful number, since it uses less digits than its factorization.

432782328583872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761850 (or 2761831 counting only the distinct ones).

The product of its digits is 1734082560, while the sum is 72.

The spelling of 432782328583872 in words is "four hundred thirty-two trillion, seven hundred eighty-two billion, three hundred twenty-eight million, five hundred eighty-three thousand, eight hundred seventy-two".