66762455426766 has 576 divisors, whose sum is σ = 181139896304640. Its totient is φ = 17565672960000.

The previous prime is 66762455426761. The next prime is 66762455426767.

It is a happy number.

66762455426766 is a `hidden beast` number, since 6 + 6 + 7 + 6 + 2 + 4 + 5 + 542 + 6 + 76 + 6 = 666.

66762455426766 is nontrivially palindromic in base 10.

66762455426766 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66762455426766² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 66762455426694 and 66762455426703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66762455426761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6698345115 + ... + 6698355081.

It is an arithmetic number, because the mean of its divisors is an integer number (314478986640).

Almost surely, 2^{66762455426766} is an apocalyptic number.

66762455426766 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66762455426766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90569948152320).

66762455426766 is an abundant number, since it is smaller than the sum of its proper divisors (114377440877874).

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

66762455426766 is a wasteful number, since it uses less digits than its factorization.

66762455426766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10201 (or 10181 counting only the distinct ones).

The product of its digits is 3657830400, while the sum is 72.

The spelling of 66762455426766 in words is "sixty-six trillion, seven hundred sixty-two billion, four hundred fifty-five million, four hundred twenty-six thousand, seven hundred sixty-six".