66000066000 has 320 divisors, whose sum is σ = 234450208512. Its totient is φ = 15840000000.

The previous prime is 66000065969. The next prime is 66000066019. The reversal of 66000066000 is 66000066.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6661050 + ... + 6670950.

Almost surely, 2^66000066000 is an apocalyptic number.

66000066000 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 66000066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117225104256).

66000066000 is an abundant number, since it is smaller than the sum of its proper divisors (168450142512).

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

66000066000 is a wasteful number, since it uses less digits than its factorization.

66000066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10039 (or 10023 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 66000066000 its reverse (66000066), we get a palindrome (66066066066).

66000066000 divided by its reverse (66000066) gives a cube (1000 = 10³).

The spelling of 66000066000 in words is "sixty-six billion, sixty-six thousand", and thus it is an eban number.