66562060968 has 96 divisors (see below), whose sum is σ = 194565407400. Its totient is φ = 20435687424.

The previous prime is 66562060951. The next prime is 66562060969. The reversal of 66562060968 is 86906026566.

66562060968 is a `hidden beast` number, since 6 + 6 + 5 + 6 + 20 + 609 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54383172804 + 12178888164 = 233202^2 + 110358^2 .

It is not an unprimeable number, because it can be changed into a prime (66562060969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349948 + ... + 505556.

Almost surely, 2^66562060968 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 66562060968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97282703700).

66562060968 is an abundant number, since it is smaller than the sum of its proper divisors (128003346432).

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

66562060968 is a wasteful number, since it uses less digits than its factorization.

66562060968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156091 (or 156084 counting only the distinct ones).

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

The spelling of 66562060968 in words is "sixty-six billion, five hundred sixty-two million, sixty thousand, nine hundred sixty-eight".