32430848364 has 240 divisors, whose sum is σ = 93915360000. Its totient is φ = 9717418368.

The previous prime is 32430848363. The next prime is 32430848413. The reversal of 32430848364 is 46384803423.

32430848364 is a `hidden beast` number, since 3 + 2 + 430 + 84 + 83 + 64 = 666.

It is a super-2 number, since 2×32430848364² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32430848363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10531377 + ... + 10534455.

It is an arithmetic number, because the mean of its divisors is an integer number (391314000).

Almost surely, 2^32430848364 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 32430848364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46957680000).

32430848364 is an abundant number, since it is smaller than the sum of its proper divisors (61484511636).

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

32430848364 is a wasteful number, since it uses less digits than its factorization.

32430848364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 32430848364 in words is "thirty-two billion, four hundred thirty million, eight hundred forty-eight thousand, three hundred sixty-four".