32009856472 has 256 divisors, whose sum is σ = 73675008000. Its totient is φ = 12877056000.

The previous prime is 32009856451. The next prime is 32009856497. The reversal of 32009856472 is 27465890023.

It is a super-2 number, since 2×32009856472² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 293668354 + ... + 293668462.

It is an arithmetic number, because the mean of its divisors is an integer number (287793000).

Almost surely, 2^32009856472 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 32009856472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36837504000).

32009856472 is an abundant number, since it is smaller than the sum of its proper divisors (41665151528).

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

32009856472 is a wasteful number, since it uses less digits than its factorization.

32009856472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 32009856472 in words is "thirty-two billion, nine million, eight hundred fifty-six thousand, four hundred seventy-two".