32861324160 has 640 divisors, whose sum is σ = 135301890240. Its totient is φ = 7445053440.

The previous prime is 32861324149. The next prime is 32861324269. The reversal of 32861324160 is 6142316823.

32861324160 is a `hidden beast` number, since 3 + 2 + 8 + 613 + 24 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 49714230 + ... + 49714890.

Almost surely, 2^32861324160 is an apocalyptic number.

32861324160 is a gapful number since it is divisible by the number (30) 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 32861324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67650945120).

32861324160 is an abundant number, since it is smaller than the sum of its proper divisors (102440566080).

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

32861324160 is a wasteful number, since it uses less digits than its factorization.

32861324160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 32861324160 in words is "thirty-two billion, eight hundred sixty-one million, three hundred twenty-four thousand, one hundred sixty".