32427343872 has 864 divisors, whose sum is σ = 129100184640. Its totient is φ = 7927234560.

The previous prime is 32427343867. The next prime is 32427343873. The reversal of 32427343872 is 27834372423.

It is a tau number, because it is divible by the number of its divisors (864).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32427343873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1907490808 + ... + 1907490824.

It is an arithmetic number, because the mean of its divisors is an integer number (149421510).

Almost surely, 2^32427343872 is an apocalyptic number.

32427343872 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 32427343872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64550092320).

32427343872 is an abundant number, since it is smaller than the sum of its proper divisors (96672840768).

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

32427343872 is an equidigital number, since it uses as much as digits as its factorization.

32427343872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 40 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 45.

The spelling of 32427343872 in words is "thirty-two billion, four hundred twenty-seven million, three hundred forty-three thousand, eight hundred seventy-two".