66126264101304 has 192 divisors, whose sum is σ = 182042671104000. Its totient is φ = 20001678048000.

The previous prime is 66126264101299. The next prime is 66126264101419. The reversal of 66126264101304 is 40310146262166.

66126264101304 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-3 number, since 3×66126264101304³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3706828017 + ... + 3706845855.

It is an arithmetic number, because the mean of its divisors is an integer number (948138912000).

Almost surely, 2^{66126264101304} 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 66126264101304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91021335552000).

66126264101304 is an abundant number, since it is smaller than the sum of its proper divisors (115916407002696).

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

66126264101304 is a wasteful number, since it uses less digits than its factorization.

66126264101304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20130 (or 20115 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 66126264101304 in words is "sixty-six trillion, one hundred twenty-six billion, two hundred sixty-four million, one hundred one thousand, three hundred four".