66075804000000 has 3024 divisors, whose sum is σ = 272080064205600. Its totient is φ = 15792537600000.

The previous prime is 66075803999999. The next prime is 66075804000001. The reversal of 66075804000000 is 40857066.

It is a happy number.

66075804000000 is a `hidden beast` number, since 6 + 607 + 5 + 8 + 0 + 40 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66075803999999) and next prime (66075804000001).

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 (66075804000001) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 905147999964 + ... + 905148000036.

Almost surely, 2^{66075804000000} is an apocalyptic number.

66075804000000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66075804000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136040032102800).

66075804000000 is an abundant number, since it is smaller than the sum of its proper divisors (206004260205600).

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

66075804000000 is an frugal number, since it uses more digits than its factorization.

66075804000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 66075804000000 its reverse (40857066), we get a palindrome (66075844857066).

The spelling of 66075804000000 in words is "sixty-six trillion, seventy-five billion, eight hundred four million", and thus it is an aban number.