66756960 has 288 divisors, whose sum is σ = 252618912. Its totient is φ = 16588800.

The previous prime is 66756947. The next prime is 66756961. The reversal of 66756960 is 6965766.

66756960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66756961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660910 + ... + 661010.

It is an arithmetic number, because the mean of its divisors is an integer number (877149).

Almost surely, 2^66756960 is an apocalyptic number.

66756960 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 66756960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126309456).

66756960 is an abundant number, since it is smaller than the sum of its proper divisors (185861952).

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

66756960 is a wasteful number, since it uses less digits than its factorization.

66756960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 66756960 is about 8170.4932531641. The cubic root of 66756960 is about 405.6631112186.

The spelling of 66756960 in words is "sixty-six million, seven hundred fifty-six thousand, nine hundred sixty".