66046321044 has 216 divisors, whose sum is σ = 186050801664. Its totient is φ = 19738857600.

The previous prime is 66046321037. The next prime is 66046321049. The reversal of 66046321044 is 44012364066.

66046321044 is a `hidden beast` number, since 6 + 6 + 0 + 4 + 632 + 10 + 4 + 4 = 666.

It is a super-3 number, since 3×66046321044³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66046321049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 153239509 + ... + 153239939.

It is an arithmetic number, because the mean of its divisors is an integer number (861346304).

Almost surely, 2^66046321044 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 66046321044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93025400832).

66046321044 is an abundant number, since it is smaller than the sum of its proper divisors (120004480620).

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

66046321044 is a wasteful number, since it uses less digits than its factorization.

66046321044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 66046321044 in words is "sixty-six billion, forty-six million, three hundred twenty-one thousand, forty-four".