66753876 has 72 divisors (see below), whose sum is σ = 183054816. Its totient is φ = 18876480.

The previous prime is 66753857. The next prime is 66753877. The reversal of 66753876 is 67835766.

It is a super-2 number, since 2×66753876² = 8912159922046752, which contains 22 as substring.

It is a nialpdrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66753877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62386 + ... + 63446.

It is an arithmetic number, because the mean of its divisors is an integer number (2542428).

Almost surely, 2^66753876 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 66753876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91527408).

66753876 is an abundant number, since it is smaller than the sum of its proper divisors (116300940).

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

66753876 is a wasteful number, since it uses less digits than its factorization.

66753876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1180 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 48.

The square root of 66753876 is about 8170.3045230885. The cubic root of 66753876 is about 405.6568642580.

The spelling of 66753876 in words is "sixty-six million, seven hundred fifty-three thousand, eight hundred seventy-six".