66334576000 has 512 divisors, whose sum is σ = 214651607040. Its totient is φ = 19768320000.

The previous prime is 66334575991. The next prime is 66334576001. The reversal of 66334576000 is 67543366.

66334576000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66334576001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28334830 + ... + 28337170.

It is an arithmetic number, because the mean of its divisors is an integer number (419241420).

Almost surely, 2^66334576000 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 66334576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107325803520).

66334576000 is an abundant number, since it is smaller than the sum of its proper divisors (148317031040).

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

66334576000 is a wasteful number, since it uses less digits than its factorization.

66334576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 40.

The spelling of 66334576000 in words is "sixty-six billion, three hundred thirty-four million, five hundred seventy-six thousand".