66432000852 has 192 divisors, whose sum is σ = 208626647040. Its totient is φ = 17845857792.

The previous prime is 66432000829. The next prime is 66432000853. The reversal of 66432000852 is 25800023466.

66432000852 is a `hidden beast` number, since 6 + 643 + 2 + 0 + 0 + 0 + 8 + 5 + 2 = 666.

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 (66432000853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16744173 + ... + 16748139.

It is an arithmetic number, because the mean of its divisors is an integer number (1086597120).

Almost surely, 2^66432000852 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 66432000852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104313323520).

66432000852 is an abundant number, since it is smaller than the sum of its proper divisors (142194646188).

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

66432000852 is a wasteful number, since it uses less digits than its factorization.

66432000852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5307 (or 5299 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 66432000852 in words is "sixty-six billion, four hundred thirty-two million, eight hundred fifty-two", and thus it is an aban number.