66276895680 has 560 divisors, whose sum is σ = 248547087360. Its totient is φ = 16731297792.

The previous prime is 66276895651. The next prime is 66276895681. The reversal of 66276895680 is 8659867266.

66276895680 is a `hidden beast` number, since 6 + 6 + 2 + 7 + 68 + 9 + 568 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66276895681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63788601 + ... + 63789639.

Almost surely, 2^66276895680 is an apocalyptic number.

66276895680 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 66276895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124273543680).

66276895680 is an abundant number, since it is smaller than the sum of its proper divisors (182270191680).

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

66276895680 is a wasteful number, since it uses less digits than its factorization.

66276895680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 66276895680 in words is "sixty-six billion, two hundred seventy-six million, eight hundred ninety-five thousand, six hundred eighty".