66344265435006 has 192 divisors, whose sum is σ = 164759312390400. Its totient is φ = 19113448808448.

The previous prime is 66344265434999. The next prime is 66344265435079. The reversal of 66344265435006 is 60053456244366.

66344265435006 is a `hidden beast` number, since 6 + 6 + 3 + 4 + 42 + 6 + 543 + 50 + 0 + 6 = 666.

It is a super-2 number, since 2×66344265435006² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 597054180 + ... + 597165288.

It is an arithmetic number, because the mean of its divisors is an integer number (858121418700).

Almost surely, 2^{66344265435006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66344265435006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82379656195200).

66344265435006 is an abundant number, since it is smaller than the sum of its proper divisors (98415046955394).

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

66344265435006 is a wasteful number, since it uses less digits than its factorization.

66344265435006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111923 (or 111920 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 54.

The spelling of 66344265435006 in words is "sixty-six trillion, three hundred forty-four billion, two hundred sixty-five million, four hundred thirty-five thousand, six".