27673223904 has 144 divisors (see below), whose sum is σ = 82746728064. Its totient is φ = 8755718400.

The previous prime is 27673223869. The next prime is 27673223909. The reversal of 27673223904 is 40932237672.

27673223904 is a `hidden beast` number, since 276 + 73 + 223 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 27673223904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27673223909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 851799 + ... + 883689.

It is an arithmetic number, because the mean of its divisors is an integer number (574630056).

Almost surely, 2^27673223904 is an apocalyptic number.

27673223904 is a gapful number since it is divisible by the number (24) 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 27673223904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41373364032).

27673223904 is an abundant number, since it is smaller than the sum of its proper divisors (55073504160).

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

27673223904 is a wasteful number, since it uses less digits than its factorization.

27673223904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32061 (or 32050 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 27673223904 in words is "twenty-seven billion, six hundred seventy-three million, two hundred twenty-three thousand, nine hundred four".