66592833996672 has 256 divisors, whose sum is σ = 209265223680000. Its totient is φ = 20775151853568.

The previous prime is 66592833996659. The next prime is 66592833996683. The reversal of 66592833996672 is 27669933829566.

66592833996672 is a `hidden beast` number, since 6 + 6 + 5 + 92 + 83 + 399 + 6 + 67 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 66592833996591 and 66592833996600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7350529 + ... + 13682687.

It is an arithmetic number, because the mean of its divisors is an integer number (817442280000).

Almost surely, 2^{66592833996672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66592833996672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104632611840000).

66592833996672 is an abundant number, since it is smaller than the sum of its proper divisors (142672389683328).

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

66592833996672 is a wasteful number, since it uses less digits than its factorization.

66592833996672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6332378 (or 6332360 counting only the distinct ones).

The product of its digits is 9523422720, while the sum is 81.

The spelling of 66592833996672 in words is "sixty-six trillion, five hundred ninety-two billion, eight hundred thirty-three million, nine hundred ninety-six thousand, six hundred seventy-two".