66826581120 has 1280 divisors, whose sum is σ = 287381001600. Its totient is φ = 14619377664.

The previous prime is 66826581071. The next prime is 66826581127. The reversal of 66826581120 is 2118562866.

66826581120 is a `hidden beast` number, since 6 + 68 + 2 + 6 + 581 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (66826581127) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 217676007 + ... + 217676313.

Almost surely, 2^66826581120 is an apocalyptic number.

66826581120 is a gapful number since it is divisible by the number (60) 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 66826581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143690500800).

66826581120 is an abundant number, since it is smaller than the sum of its proper divisors (220554420480).

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

66826581120 is a wasteful number, since it uses less digits than its factorization.

66826581120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 66826581120 in words is "sixty-six billion, eight hundred twenty-six million, five hundred eighty-one thousand, one hundred twenty".