32741606160 has 280 divisors, whose sum is σ = 116926438104. Its totient is φ = 8517519360.

The previous prime is 32741606159. The next prime is 32741606171. The reversal of 32741606160 is 6160614723.

It is a happy number.

32741606160 is a `hidden beast` number, since 3 + 2 + 7 + 41 + 606 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5330168064 + 27411438096 = 73008^2 + 165564^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 55 ways as a sum of consecutive naturals, for example, 2384274 + ... + 2397966.

Almost surely, 2^32741606160 is an apocalyptic number.

32741606160 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 32741606160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58463219052).

32741606160 is an abundant number, since it is smaller than the sum of its proper divisors (84184831944).

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

32741606160 is a wasteful number, since it uses less digits than its factorization.

32741606160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13765 (or 13744 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 32741606160 in words is "thirty-two billion, seven hundred forty-one million, six hundred six thousand, one hundred sixty".