32771642085 has 48 divisors (see below), whose sum is σ = 69912845184. Its totient is φ = 13828910976.

The previous prime is 32771642081. The next prime is 32771642087. The reversal of 32771642085 is 58024617723.

It is not a de Polignac number, because 32771642085 - 2² = 32771642081 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 32771642085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32771642081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3997327 + ... + 4005516.

It is an arithmetic number, because the mean of its divisors is an integer number (1456517608).

Almost surely, 2^32771642085 is an apocalyptic number.

32771642085 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

32771642085 is an abundant number, since it is smaller than the sum of its proper divisors (37141203099).

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

32771642085 is a wasteful number, since it uses less digits than its factorization.

32771642085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8002874 (or 8002871 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 32771642085 in words is "thirty-two billion, seven hundred seventy-one million, six hundred forty-two thousand, eighty-five".