42784782066 has 144 divisors (see below), whose sum is σ = 104897572416. Its totient is φ = 12992708448.

The previous prime is 42784782043. The next prime is 42784782083. The reversal of 42784782066 is 66028748724.

It is a happy number.

42784782066 is a `hidden beast` number, since 42 + 78 + 478 + 2 + 0 + 66 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43524211 + ... + 43525193.

It is an arithmetic number, because the mean of its divisors is an integer number (728455364).

Almost surely, 2^42784782066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42784782066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52448786208).

42784782066 is an abundant number, since it is smaller than the sum of its proper divisors (62112790350).

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

42784782066 is an equidigital number, since it uses as much as digits as its factorization.

42784782066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 42784782066 in words is "forty-two billion, seven hundred eighty-four million, seven hundred eighty-two thousand, sixty-six".