66679117728 has 48 divisors (see below), whose sum is σ = 175047596640. Its totient is φ = 22224478976.

The previous prime is 66679117639. The next prime is 66679117741. The reversal of 66679117728 is 82771197666.

It is a Cunningham number, because it is equal to 258223²-1.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×66679117728² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1527826 + ... + 1570862.

It is an arithmetic number, because the mean of its divisors is an integer number (3646824930).

Almost surely, 2^66679117728 is an apocalyptic number.

It is an amenable number.

66679117728 is an abundant number, since it is smaller than the sum of its proper divisors (108368478912).

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

66679117728 is a wasteful number, since it uses less digits than its factorization.

66679117728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59189 (or 59181 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 60.

The spelling of 66679117728 in words is "sixty-six billion, six hundred seventy-nine million, one hundred seventeen thousand, seven hundred twenty-eight".