32849065680 has 160 divisors (see below), whose sum is σ = 107562639360. Its totient is φ = 8279953920.

The previous prime is 32849065679. The next prime is 32849065741. The reversal of 32849065680 is 8656094823.

It is a super-2 number, since 2×32849065680² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268581 + ... + 371259.

It is an arithmetic number, because the mean of its divisors is an integer number (672266496).

Almost surely, 2^32849065680 is an apocalyptic number.

32849065680 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 32849065680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53781319680).

32849065680 is an abundant number, since it is smaller than the sum of its proper divisors (74713573680).

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

32849065680 is a wasteful number, since it uses less digits than its factorization.

32849065680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102769 (or 102763 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 32849065680 in words is "thirty-two billion, eight hundred forty-nine million, sixty-five thousand, six hundred eighty".