32849026560 has 480 divisors, whose sum is σ = 137677205952. Its totient is φ = 7066091520.

The previous prime is 32849026559. The next prime is 32849026579. The reversal of 32849026560 is 6562094823.

32849026560 is a `hidden beast` number, since 3 + 2 + 84 + 9 + 0 + 2 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 2735770 + ... + 2747750.

Almost surely, 2^32849026560 is an apocalyptic number.

32849026560 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 32849026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68838602976).

32849026560 is an abundant number, since it is smaller than the sum of its proper divisors (104828179392).

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

32849026560 is a wasteful number, since it uses less digits than its factorization.

32849026560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12034 (or 12015 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 32849026560 in words is "thirty-two billion, eight hundred forty-nine million, twenty-six thousand, five hundred sixty".