27472116672 has 1344 divisors, whose sum is σ = 115030056960. Its totient is φ = 6038323200.

The previous prime is 27472116667. The next prime is 27472116673. The reversal of 27472116672 is 27661127472.

27472116672 is a `hidden beast` number, since 2 + 7 + 472 + 116 + 67 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27472116673) 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 191 ways as a sum of consecutive naturals, for example, 518341798 + ... + 518341850.

It is an arithmetic number, because the mean of its divisors is an integer number (85587840).

Almost surely, 2^27472116672 is an apocalyptic number.

27472116672 is a gapful number since it is divisible by the number (22) 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 27472116672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57515028480).

27472116672 is an abundant number, since it is smaller than the sum of its proper divisors (87557940288).

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

27472116672 is a wasteful number, since it uses less digits than its factorization.

27472116672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The spelling of 27472116672 in words is "twenty-seven billion, four hundred seventy-two million, one hundred sixteen thousand, six hundred seventy-two".