32725143360 has 1344 divisors, whose sum is σ = 148580490240. Its totient is φ = 6423183360.

The previous prime is 32725143349. The next prime is 32725143379. The reversal of 32725143360 is 6334152723.

32725143360 is a `hidden beast` number, since 3 + 2 + 7 + 251 + 43 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 367698196 + ... + 367698284.

It is an arithmetic number, because the mean of its divisors is an integer number (110550960).

Almost surely, 2^32725143360 is an apocalyptic number.

32725143360 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 32725143360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74290245120).

32725143360 is an abundant number, since it is smaller than the sum of its proper divisors (115855346880).

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

32725143360 is a wasteful number, since it uses less digits than its factorization.

32725143360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 32725143360 in words is "thirty-two billion, seven hundred twenty-five million, one hundred forty-three thousand, three hundred sixty".