66536512 has 70 divisors (see below), whose sum is σ = 154385518. Its totient is φ = 28449792.

The previous prime is 66536479. The next prime is 66536551. The reversal of 66536512 is 21563566.

It can be written as a sum of positive squares in only one way, i.e., 44408896 + 22127616 = 6664^2 + 4704^2 .

It is a super-2 number, since 2×66536512² = 8854214858252288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 153448 + ... + 153880.

Almost surely, 2^66536512 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 66536512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77192759).

66536512 is an abundant number, since it is smaller than the sum of its proper divisors (87849006).

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

66536512 is an frugal number, since it uses more digits than its factorization.

66536512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 442 counting only the distinct ones).

The product of its digits is 32400, while the sum is 34.

The square root of 66536512 is about 8156.9916023004. The cubic root of 66536512 is about 405.2160854707.

The spelling of 66536512 in words is "sixty-six million, five hundred thirty-six thousand, five hundred twelve".