66475520 has 80 divisors (see below), whose sum is σ = 166462560. Its totient is φ = 25411584.

The previous prime is 66475517. The next prime is 66475523. The reversal of 66475520 is 2557466.

It is an interprime number because it is at equal distance from previous prime (66475517) and next prime (66475523).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66475523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58316 + ... + 59444.

It is an arithmetic number, because the mean of its divisors is an integer number (2080782).

Almost surely, 2^66475520 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 66475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83231280).

66475520 is an abundant number, since it is smaller than the sum of its proper divisors (99987040).

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

66475520 is a wasteful number, since it uses less digits than its factorization.

66475520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 66475520 is about 8153.2521118876. The cubic root of 66475520 is about 405.0922311918.

It can be divided in two parts, 6647 and 5520, that added together give a cube (12167 = 23³).

The spelling of 66475520 in words is "sixty-six million, four hundred seventy-five thousand, five hundred twenty".