66573738 has 112 divisors (see below), whose sum is σ = 186981696. Its totient is φ = 17262720.

The previous prime is 66573733. The next prime is 66573797. The reversal of 66573738 is 83737566.

66573738 is a `hidden beast` number, since 6 + 6 + 573 + 73 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 66573693 and 66573702.

It is not an unprimeable number, because it can be changed into a prime (66573733) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 111970 + ... + 112562.

Almost surely, 2^66573738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66573738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93490848).

66573738 is an abundant number, since it is smaller than the sum of its proper divisors (120407958).

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

66573738 is a wasteful number, since it uses less digits than its factorization.

66573738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 616 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 66573738 is about 8159.2731293909. The cubic root of 66573738 is about 405.2916417893.

The spelling of 66573738 in words is "sixty-six million, five hundred seventy-three thousand, seven hundred thirty-eight".