32734152864 has 336 divisors, whose sum is σ = 112708411200. Its totient is φ = 9350328960.

The previous prime is 32734152863. The next prime is 32734152883. The reversal of 32734152864 is 46825143723.

32734152864 is a `hidden beast` number, since 3 + 27 + 3 + 41 + 528 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (32734152863) by changing a digit.

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, 7999459 + ... + 8003549.

It is an arithmetic number, because the mean of its divisors is an integer number (335441700).

Almost surely, 2^32734152864 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 32734152864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56354205600).

32734152864 is an abundant number, since it is smaller than the sum of its proper divisors (79974258336).

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

32734152864 is an frugal number, since it uses more digits than its factorization.

32734152864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140 (or 4103 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 32734152864 in words is "thirty-two billion, seven hundred thirty-four million, one hundred fifty-two thousand, eight hundred sixty-four".