66771648 has 112 divisors (see below), whose sum is σ = 207934560. Its totient is φ = 20938752.

The previous prime is 66771641. The next prime is 66771667. The reversal of 66771648 is 84617766.

It is not an unprimeable number, because it can be changed into a prime (66771641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28240 + ... + 30512.

Almost surely, 2^66771648 is an apocalyptic number.

66771648 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 66771648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103967280).

66771648 is an abundant number, since it is smaller than the sum of its proper divisors (141162912).

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

66771648 is a wasteful number, since it uses less digits than its factorization.

66771648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2295 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 66771648 is about 8171.3920478704. The cubic root of 66771648 is about 405.6928606402.

The spelling of 66771648 in words is "sixty-six million, seven hundred seventy-one thousand, six hundred forty-eight".