32576322240 has 672 divisors, whose sum is σ = 141733463040. Its totient is φ = 6670540800.

The previous prime is 32576322223. The next prime is 32576322241. The reversal of 32576322240 is 4222367523.

32576322240 is a `hidden beast` number, since 3 + 25 + 76 + 322 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×32576322240² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 32576322195 and 32576322204.

It is not an unprimeable number, because it can be changed into a prime (32576322241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15743926 + ... + 15745994.

Almost surely, 2^32576322240 is an apocalyptic number.

32576322240 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 32576322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70866731520).

32576322240 is an abundant number, since it is smaller than the sum of its proper divisors (109157140800).

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

32576322240 is a wasteful number, since it uses less digits than its factorization.

32576322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

Adding to 32576322240 its reverse (4222367523), we get a palindrome (36798689763).

The spelling of 32576322240 in words is "thirty-two billion, five hundred seventy-six million, three hundred twenty-two thousand, two hundred forty".