32687861760 has 312 divisors, whose sum is σ = 114413853840. Its totient is φ = 8631484416.

The previous prime is 32687861729. The next prime is 32687861771. The reversal of 32687861760 is 6716878623.

It is a junction number, because it is equal to n+sod(n) for n = 32687861697 and 32687861706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20090067 + ... + 20091693.

It is an arithmetic number, because the mean of its divisors is an integer number (366711070).

Almost surely, 2^32687861760 is an apocalyptic number.

32687861760 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 32687861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57206926920).

32687861760 is an abundant number, since it is smaller than the sum of its proper divisors (81725992080).

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

32687861760 is a wasteful number, since it uses less digits than its factorization.

32687861760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 32687861760 in words is "thirty-two billion, six hundred eighty-seven million, eight hundred sixty-one thousand, seven hundred sixty".