66756648960 has 672 divisors, whose sum is σ = 253325741760. Its totient is φ = 16817061888.

The previous prime is 66756648947. The next prime is 66756648961. The reversal of 66756648960 is 6984665766.

66756648960 is a `hidden beast` number, since 6 + 6 + 7 + 566 + 4 + 8 + 9 + 60 = 666.

It is not an unprimeable number, because it can be changed into a prime (66756648961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189112144 + ... + 189112496.

It is an arithmetic number, because the mean of its divisors is an integer number (376972830).

Almost surely, 2^66756648960 is an apocalyptic number.

66756648960 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 66756648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126662870880).

66756648960 is an abundant number, since it is smaller than the sum of its proper divisors (186569092800).

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

66756648960 is an equidigital number, since it uses as much as digits as its factorization.

66756648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

It can be divided in two parts, 66756 and 648960, that added together give a square (715716 = 846²).

The spelling of 66756648960 in words is "sixty-six billion, seven hundred fifty-six million, six hundred forty-eight thousand, nine hundred sixty".