46827904032 has 960 divisors, whose sum is σ = 183322782720. Its totient is φ = 11428107264.

The previous prime is 46827904031. The next prime is 46827904043. The reversal of 46827904032 is 23040972864.

It is not an unprimeable number, because it can be changed into a prime (46827904031) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1089021003 + ... + 1089021045.

It is an arithmetic number, because the mean of its divisors is an integer number (190961232).

Almost surely, 2^46827904032 is an apocalyptic number.

46827904032 is a gapful number since it is divisible by the number (42) 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 46827904032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91661391360).

46827904032 is an abundant number, since it is smaller than the sum of its proper divisors (136494878688).

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

46827904032 is an equidigital number, since it uses as much as digits as its factorization.

46827904032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 46827904032 in words is "forty-six billion, eight hundred twenty-seven million, nine hundred four thousand, thirty-two".