66042760 has 64 divisors (see below), whose sum is σ = 171072000. Its totient is φ = 22477056.

The previous prime is 66042749. The next prime is 66042763. The reversal of 66042760 is 6724066.

It is a super-2 number, since 2×66042760² = 8723292296835200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66042763) 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 15 ways as a sum of consecutive naturals, for example, 40929 + ... + 42511.

It is an arithmetic number, because the mean of its divisors is an integer number (2673000).

Almost surely, 2^66042760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66042760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85536000).

66042760 is an abundant number, since it is smaller than the sum of its proper divisors (105029240).

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

66042760 is a wasteful number, since it uses less digits than its factorization.

66042760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 66042760 is about 8126.6696745961. The cubic root of 66042760 is about 404.2112576774.

The spelling of 66042760 in words is "sixty-six million, forty-two thousand, seven hundred sixty".