66662058960 has 480 divisors, whose sum is σ = 262375206912. Its totient is φ = 14851537920.

The previous prime is 66662058959. The next prime is 66662058977. The reversal of 66662058960 is 6985026666.

It is a junction number, because it is equal to n+sod(n) for n = 66662058897 and 66662058906.

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 82196955 + ... + 82197765.

Almost surely, 2^66662058960 is an apocalyptic number.

66662058960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66662058960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131187603456).

66662058960 is an abundant number, since it is smaller than the sum of its proper divisors (195713147952).

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

66662058960 is a wasteful number, since it uses less digits than its factorization.

66662058960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 66662058960 in words is "sixty-six billion, six hundred sixty-two million, fifty-eight thousand, nine hundred sixty".