66782736 has 60 divisors (see below), whose sum is σ = 189488988. Its totient is φ = 21952512.

The previous prime is 66782699. The next prime is 66782753. The reversal of 66782736 is 63728766.

It can be written as a sum of positive squares in 2 ways, for example, as 34292736 + 32490000 = 5856^2 + 5700^2 .

It is a junction number, because it is equal to n+sod(n) for n = 66782691 and 66782700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7336 + ... + 13688.

Almost surely, 2^66782736 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 66782736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94744494).

66782736 is an abundant number, since it is smaller than the sum of its proper divisors (122706252).

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

66782736 is a wasteful number, since it uses less digits than its factorization.

66782736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6440 (or 6431 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 66782736 is about 8172.0704842775. The cubic root of 66782736 is about 405.7153156472.

The spelling of 66782736 in words is "sixty-six million, seven hundred eighty-two thousand, seven hundred thirty-six".