66975760 has 80 divisors (see below), whose sum is σ = 165614400. Its totient is φ = 25118208.

The previous prime is 66975757. The next prime is 66975763. The reversal of 66975760 is 6757966.

It is an interprime number because it is at equal distance from previous prime (66975757) and next prime (66975763).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 66975760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66975763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211122 + ... + 211438.

It is an arithmetic number, because the mean of its divisors is an integer number (2070180).

Almost surely, 2^66975760 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 66975760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82807200).

66975760 is an abundant number, since it is smaller than the sum of its proper divisors (98638640).

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

66975760 is a wasteful number, since it uses less digits than its factorization.

66975760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 46.

The square root of 66975760 is about 8183.8719442572. The cubic root of 66975760 is about 406.1058230787.

The spelling of 66975760 in words is "sixty-six million, nine hundred seventy-five thousand, seven hundred sixty".