842766282432 has 224 divisors, whose sum is σ = 2612265235200. Its totient is φ = 265698994176.

The previous prime is 842766282409. The next prime is 842766282437. The reversal of 842766282432 is 234282667248.

842766282432 is a `hidden beast` number, since 8 + 4 + 2 + 7 + 6 + 628 + 2 + 4 + 3 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (842766282437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20236543 + ... + 20278145.

Almost surely, 2^842766282432 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 842766282432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306132617600).

842766282432 is an abundant number, since it is smaller than the sum of its proper divisors (1769498952768).

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

842766282432 is a wasteful number, since it uses less digits than its factorization.

842766282432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42260 (or 42244 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The spelling of 842766282432 in words is "eight hundred forty-two billion, seven hundred sixty-six million, two hundred eighty-two thousand, four hundred thirty-two".