32612045200 has 240 divisors, whose sum is σ = 95069808000. Its totient is φ = 10494812160.

The previous prime is 32612045173. The next prime is 32612045201. The reversal of 32612045200 is 254021623.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (32612045201) 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 47 ways as a sum of consecutive naturals, for example, 23751714 + ... + 23753086.

It is an arithmetic number, because the mean of its divisors is an integer number (396124200).

Almost surely, 2^32612045200 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 32612045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47534904000).

32612045200 is an abundant number, since it is smaller than the sum of its proper divisors (62457762800).

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

32612045200 is a wasteful number, since it uses less digits than its factorization.

32612045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 32612045200 its reverse (254021623), we get a palindrome (32866066823).

The spelling of 32612045200 in words is "thirty-two billion, six hundred twelve million, forty-five thousand, two hundred".