66782285648 has 160 divisors (see below), whose sum is σ = 150524428320. Its totient is φ = 28426567680.

The previous prime is 66782285627. The next prime is 66782285671. The reversal of 66782285648 is 84658228766.

It can be written as a sum of positive squares in 16 ways, for example, as 12067461904 + 54714823744 = 109852^2 + 233912^2 .

It is a congruent number.

It is an unprimeable number.

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, 88219286 + ... + 88220042.

It is an arithmetic number, because the mean of its divisors is an integer number (940777677).

Almost surely, 2^66782285648 is an apocalyptic number.

66782285648 is a gapful number since it is divisible by the number (68) 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 66782285648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75262214160).

66782285648 is an abundant number, since it is smaller than the sum of its proper divisors (83742142672).

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

66782285648 is a wasteful number, since it uses less digits than its factorization.

66782285648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1259 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 62.

The spelling of 66782285648 in words is "sixty-six billion, seven hundred eighty-two million, two hundred eighty-five thousand, six hundred forty-eight".