66233088000 has 1152 divisors, whose sum is σ = 269070984000. Its totient is φ = 15571353600.

The previous prime is 66233087993. The next prime is 66233088007. The reversal of 66233088000 is 88033266.

It is an interprime number because it is at equal distance from previous prime (66233087993) and next prime (66233088007).

It is a tau number, because it is divible by the number of its divisors (1152).

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 (66233088007) 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 95 ways as a sum of consecutive naturals, for example, 744191956 + ... + 744192044.

Almost surely, 2^66233088000 is an apocalyptic number.

66233088000 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 66233088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134535492000).

66233088000 is an abundant number, since it is smaller than the sum of its proper divisors (202837896000).

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

66233088000 is a wasteful number, since it uses less digits than its factorization.

66233088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 66233088000 in words is "sixty-six billion, two hundred thirty-three million, eighty-eight thousand".