32687665740 has 144 divisors (see below), whose sum is σ = 106917239520. Its totient is φ = 8056488960.

The previous prime is 32687665733. The next prime is 32687665771. The reversal of 32687665740 is 4756678623.

32687665740 is a `hidden beast` number, since 3 + 2 + 6 + 8 + 7 + 66 + 574 + 0 = 666.

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, 23662 + ... + 256778.

It is an arithmetic number, because the mean of its divisors is an integer number (742480830).

Almost surely, 2^32687665740 is an apocalyptic number.

32687665740 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 32687665740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53458619760).

32687665740 is an abundant number, since it is smaller than the sum of its proper divisors (74229573780).

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

32687665740 is a wasteful number, since it uses less digits than its factorization.

32687665740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233192 (or 233187 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 32687665740 in words is "thirty-two billion, six hundred eighty-seven million, six hundred sixty-five thousand, seven hundred forty".