32666006016 has 360 divisors, whose sum is σ = 110371060800. Its totient is φ = 9273470976.

The previous prime is 32666006003. The next prime is 32666006041. The reversal of 32666006016 is 61060066623.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44932245 + ... + 44932971.

It is an arithmetic number, because the mean of its divisors is an integer number (306586280).

Almost surely, 2^32666006016 is an apocalyptic number.

32666006016 is a gapful number since it is divisible by the number (36) 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 32666006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55185530400).

32666006016 is an abundant number, since it is smaller than the sum of its proper divisors (77705054784).

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

32666006016 is a wasteful number, since it uses less digits than its factorization.

32666006016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 32666006016 in words is "thirty-two billion, six hundred sixty-six million, six thousand, sixteen".