66504960 has 216 divisors, whose sum is σ = 241061184. Its totient is φ = 16896000.

The previous prime is 66504943. The next prime is 66504989. The reversal of 66504960 is 6940566.

It is a happy number.

66504960 is a `hidden beast` number, since 66 + 504 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264835 + ... + 265085.

It is an arithmetic number, because the mean of its divisors is an integer number (1116024).

Almost surely, 2^66504960 is an apocalyptic number.

66504960 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 66504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120530592).

66504960 is an abundant number, since it is smaller than the sum of its proper divisors (174556224).

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

66504960 is a wasteful number, since it uses less digits than its factorization.

66504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 66504960 is about 8155.0573265919. The cubic root of 66504960 is about 405.1520234039.

The spelling of 66504960 in words is "sixty-six million, five hundred four thousand, nine hundred sixty".