66126641310 has 192 divisors, whose sum is σ = 187464461184. Its totient is φ = 16106496000.

The previous prime is 66126641309. The next prime is 66126641311. The reversal of 66126641310 is 1314662166.

It is a happy number.

66126641310 is a `hidden beast` number, since 6 + 6 + 1 + 2 + 6 + 641 + 3 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66126641309) and next prime (66126641311).

It is a super-2 number, since 2×66126641310² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66126641311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12355135 + ... + 12360485.

It is an arithmetic number, because the mean of its divisors is an integer number (976377402).

Almost surely, 2^66126641310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66126641310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93732230592).

66126641310 is an abundant number, since it is smaller than the sum of its proper divisors (121337819874).

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

66126641310 is a wasteful number, since it uses less digits than its factorization.

66126641310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5619 (or 5616 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 66126641310 in words is "sixty-six billion, one hundred twenty-six million, six hundred forty-one thousand, three hundred ten".