66795368704 has 81 divisors (see below), whose sum is σ = 138334290367. Its totient is φ = 32188147712.

The previous prime is 66795368701. The next prime is 66795368743. The reversal of 66795368704 is 40786359766.

The square root of 66795368704 is 258448.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13179040000 + 53616328704 = 114800^2 + 231552^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66795368701) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 119919594 + ... + 119920150.

Almost surely, 2^66795368704 is an apocalyptic number.

66795368704 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

66795368704 is the 258448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66795368704

66795368704 is an abundant number, since it is smaller than the sum of its proper divisors (71538921663).

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

66795368704 is an frugal number, since it uses more digits than its factorization.

66795368704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 61.

The spelling of 66795368704 in words is "sixty-six billion, seven hundred ninety-five million, three hundred sixty-eight thousand, seven hundred four".