66469312000 has 640 divisors, whose sum is σ = 207837197568. Its totient is φ = 20643840000.

The previous prime is 66469311991. The next prime is 66469312009. The reversal of 66469312000 is 21396466.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66469311991) and next prime (66469312009).

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66469312009) 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 63 ways as a sum of consecutive naturals, for example, 588223944 + ... + 588224056.

Almost surely, 2^66469312000 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 66469312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103918598784).

66469312000 is an abundant number, since it is smaller than the sum of its proper divisors (141367885568).

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

66469312000 is a wasteful number, since it uses less digits than its factorization.

66469312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 66469312000 in words is "sixty-six billion, four hundred sixty-nine million, three hundred twelve thousand".