27673632000 has 1296 divisors, whose sum is σ = 121210728912. Its totient is φ = 6038323200.

The previous prime is 27673631863. The next prime is 27673632013. The reversal of 27673632000 is 23637672.

27673632000 is a `hidden beast` number, since 276 + 7 + 363 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1878702336 + 25794929664 = 43344^2 + 160608^2 .

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 143 ways as a sum of consecutive naturals, for example, 522143974 + ... + 522144026.

It is an arithmetic number, because the mean of its divisors is an integer number (93526797).

Almost surely, 2^27673632000 is an apocalyptic number.

27673632000 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 27673632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60605364456).

27673632000 is an abundant number, since it is smaller than the sum of its proper divisors (93537096912).

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

27673632000 is a wasteful number, since it uses less digits than its factorization.

27673632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 27673632000 in words is "twenty-seven billion, six hundred seventy-three million, six hundred thirty-two thousand".