32712180480 has 1080 divisors, whose sum is σ = 140072442048. Its totient is φ = 7264567296.

The previous prime is 32712180451. The next prime is 32712180481. The reversal of 32712180480 is 8408121723.

32712180480 is a `hidden beast` number, since 32 + 71 + 2 + 1 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is not an unprimeable number, because it can be changed into a prime (32712180481) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 238774972 + ... + 238775108.

Almost surely, 2^32712180480 is an apocalyptic number.

32712180480 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 32712180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70036221024).

32712180480 is an abundant number, since it is smaller than the sum of its proper divisors (107360261568).

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

32712180480 is a wasteful number, since it uses less digits than its factorization.

32712180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 32712180480 in words is "thirty-two billion, seven hundred twelve million, one hundred eighty thousand, four hundred eighty".