66761108568 has 384 divisors, whose sum is σ = 234304012800. Its totient is φ = 16663449600.

The previous prime is 66761108551. The next prime is 66761108611. The reversal of 66761108568 is 86580116766.

66761108568 is a `hidden beast` number, since 6 + 6 + 7 + 61 + 10 + 8 + 568 = 666.

66761108568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38746155 + ... + 38747877.

It is an arithmetic number, because the mean of its divisors is an integer number (610166700).

Almost surely, 2^66761108568 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 66761108568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117152006400).

66761108568 is an abundant number, since it is smaller than the sum of its proper divisors (167542904232).

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

66761108568 is a wasteful number, since it uses less digits than its factorization.

66761108568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 66761108568 in words is "sixty-six billion, seven hundred sixty-one million, one hundred eight thousand, five hundred sixty-eight".