27482172480 has 672 divisors, whose sum is σ = 115962013440. Its totient is φ = 6061547520.

The previous prime is 27482172461. The next prime is 27482172481. The reversal of 27482172480 is 8427128472.

27482172480 is a `hidden beast` number, since 27 + 4 + 82 + 1 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (27482172481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15784410 + ... + 15786150.

It is an arithmetic number, because the mean of its divisors is an integer number (172562520).

Almost surely, 2^27482172480 is an apocalyptic number.

27482172480 is a gapful number since it is divisible by the number (20) 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 27482172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57981006720).

27482172480 is an abundant number, since it is smaller than the sum of its proper divisors (88479840960).

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

27482172480 is a wasteful number, since it uses less digits than its factorization.

27482172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 27482172480 in words is "twenty-seven billion, four hundred eighty-two million, one hundred seventy-two thousand, four hundred eighty".