32845085280 has 1152 divisors, whose sum is σ = 145825505280. Its totient is φ = 6808043520.

The previous prime is 32845085279. The next prime is 32845085291. The reversal of 32845085280 is 8258054823.

32845085280 is a `hidden beast` number, since 328 + 45 + 0 + 8 + 5 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 143428206 + ... + 143428434.

It is an arithmetic number, because the mean of its divisors is an integer number (126584640).

Almost surely, 2^32845085280 is an apocalyptic number.

32845085280 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 32845085280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72912752640).

32845085280 is an abundant number, since it is smaller than the sum of its proper divisors (112980420000).

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

32845085280 is a wasteful number, since it uses less digits than its factorization.

32845085280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 32845085280 in words is "thirty-two billion, eight hundred forty-five million, eighty-five thousand, two hundred eighty".