66731288976 has 405 divisors, whose sum is σ = 218772519147. Its totient is φ = 18971314560.

The previous prime is 66731288891. The next prime is 66731288989. The reversal of 66731288976 is 67988213766.

The square root of 66731288976 is 258324.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 647876541 + ... + 647876643.

Almost surely, 2^66731288976 is an apocalyptic number.

66731288976 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66731288976 is the 258324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66731288976

66731288976 is an abundant number, since it is smaller than the sum of its proper divisors (152041230171).

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

66731288976 is a wasteful number, since it uses less digits than its factorization.

66731288976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 138 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 66731288976 in words is "sixty-six billion, seven hundred thirty-one million, two hundred eighty-eight thousand, nine hundred seventy-six".