66834658576 has 75 divisors (see below), whose sum is σ = 151179804311. Its totient is φ = 28621709088.

The previous prime is 66834658559. The next prime is 66834658577. The reversal of 66834658576 is 67585643866.

The square root of 66834658576 is 258524.

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

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66834658577) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 50670045 + ... + 50671363.

Almost surely, 2^66834658576 is an apocalyptic number.

66834658576 is the 258524-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66834658576

66834658576 is an abundant number, since it is smaller than the sum of its proper divisors (84345145735).

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

66834658576 is an frugal number, since it uses more digits than its factorization.

66834658576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 1328 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 64.

Multiplying 66834658576 by its sum of digits (64), we get a square (4277418148864 = 2068192²).

It can be divided in two parts, 66834 and 658576, that added together give a triangular number (725410 = T₁₂₀₄).

The spelling of 66834658576 in words is "sixty-six billion, eight hundred thirty-four million, six hundred fifty-eight thousand, five hundred seventy-six".