66527646720 has 264 divisors, whose sum is σ = 219918740832. Its totient is φ = 17164615680.

The previous prime is 66527646673. The next prime is 66527646727. The reversal of 66527646720 is 2764672566.

It is a happy number.

66527646720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×66527646720³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66527646727) 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, 14758707 + ... + 14763213.

Almost surely, 2^66527646720 is an apocalyptic number.

66527646720 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 66527646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109959370416).

66527646720 is an abundant number, since it is smaller than the sum of its proper divisors (153391094112).

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

66527646720 is a wasteful number, since it uses less digits than its factorization.

66527646720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597 (or 4548 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 66527646720 in words is "sixty-six billion, five hundred twenty-seven million, six hundred forty-six thousand, seven hundred twenty".