32827409472 has 224 divisors, whose sum is σ = 102830644224. Its totient is φ = 9111398400.

The previous prime is 32827409449. The next prime is 32827409497. The reversal of 32827409472 is 27490472823.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3592173 + ... + 3601299.

It is an arithmetic number, because the mean of its divisors is an integer number (459065376).

Almost surely, 2^32827409472 is an apocalyptic number.

32827409472 is a gapful number since it is divisible by the number (32) 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 32827409472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51415322112).

32827409472 is an abundant number, since it is smaller than the sum of its proper divisors (70003234752).

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

32827409472 is a wasteful number, since it uses less digits than its factorization.

32827409472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9297 (or 9287 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 32827409472 in words is "thirty-two billion, eight hundred twenty-seven million, four hundred nine thousand, four hundred seventy-two".