32661280080 has 960 divisors, whose sum is σ = 138311147520. Its totient is φ = 7054387200.

The previous prime is 32661280027. The next prime is 32661280097. The reversal of 32661280080 is 8008216623.

32661280080 is a `hidden beast` number, since 32 + 6 + 612 + 8 + 0 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 86177331 + ... + 86177709.

It is an arithmetic number, because the mean of its divisors is an integer number (144074112).

Almost surely, 2^32661280080 is an apocalyptic number.

32661280080 is a gapful number since it is divisible by the number (30) 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 32661280080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69155573760).

32661280080 is an abundant number, since it is smaller than the sum of its proper divisors (105649867440).

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

32661280080 is a wasteful number, since it uses less digits than its factorization.

32661280080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 32661280080 in words is "thirty-two billion, six hundred sixty-one million, two hundred eighty thousand, eighty".