66586705936 has 45 divisors (see below), whose sum is σ = 133371749469. Its totient is φ = 32203891200.

The previous prime is 66586705847. The next prime is 66586705951. The reversal of 66586705936 is 63950768566.

It is a happy number.

The square root of 66586705936 is 258044.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 25231416336 + 41355289600 = 158844^2 + 203360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31996416 + ... + 31998496.

Almost surely, 2^66586705936 is an apocalyptic number.

66586705936 is the 258044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66586705936

66586705936 is an abundant number, since it is smaller than the sum of its proper divisors (66785043533).

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

66586705936 is an frugal number, since it uses more digits than its factorization.

66586705936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4232 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 61.

The spelling of 66586705936 in words is "sixty-six billion, five hundred eighty-six million, seven hundred five thousand, nine hundred thirty-six".