66462760 has 192 divisors, whose sum is σ = 200188800. Its totient is φ = 19284480.

The previous prime is 66462757. The next prime is 66462769. The reversal of 66462760 is 6726466.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66462769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2143945 + ... + 2143975.

It is an arithmetic number, because the mean of its divisors is an integer number (1042650).

Almost surely, 2^66462760 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 66462760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100094400).

66462760 is an abundant number, since it is smaller than the sum of its proper divisors (133726040).

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

66462760 is a wasteful number, since it uses less digits than its factorization.

66462760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 66462760 is about 8152.4695644939. The cubic root of 66462760 is about 405.0663103333.

The spelling of 66462760 in words is "sixty-six million, four hundred sixty-two thousand, seven hundred sixty".