32847442001920 has 480 divisors, whose sum is σ = 98855147115648. Its totient is φ = 10199406477312.

The previous prime is 32847442001893. The next prime is 32847442001921. The reversal of 32847442001920 is 2910024474823.

It is not an unprimeable number, because it can be changed into a prime (32847442001921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395058592 + ... + 395141728.

Almost surely, 2^{32847442001920} 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 32847442001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49427573557824).

32847442001920 is an abundant number, since it is smaller than the sum of its proper divisors (66007705113728).

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

32847442001920 is an equidigital number, since it uses as much as digits as its factorization.

32847442001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83243 (or 83217 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 32847442001920 in words is "thirty-two trillion, eight hundred forty-seven billion, four hundred forty-two million, one thousand, nine hundred twenty".