32076730240 has 128 divisors (see below), whose sum is σ = 81743616000. Its totient is φ = 12001167360.

The previous prime is 32076730181. The next prime is 32076730241. The reversal of 32076730240 is 4203767023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 32076730196 and 32076730205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32076730241) 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 15 ways as a sum of consecutive naturals, for example, 943945 + ... + 977335.

It is an arithmetic number, because the mean of its divisors is an integer number (638622000).

Almost surely, 2^32076730240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32076730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40871808000).

32076730240 is an abundant number, since it is smaller than the sum of its proper divisors (49666885760).

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

32076730240 is a wasteful number, since it uses less digits than its factorization.

32076730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33508 (or 33496 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 34.

The spelling of 32076730240 in words is "thirty-two billion, seventy-six million, seven hundred thirty thousand, two hundred forty".