27600445440 has 672 divisors, whose sum is σ = 103047759360. Its totient is φ = 7081426944.

The previous prime is 27600445429. The next prime is 27600445451. The reversal of 27600445440 is 4454400672.

27600445440 is a `hidden beast` number, since 2 + 7 + 600 + 4 + 4 + 5 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (27600445429) and next prime (27600445451).

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

It is a junction number, because it is equal to n+sod(n) for n = 27600445395 and 27600445404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467804131 + ... + 467804189.

It is an arithmetic number, because the mean of its divisors is an integer number (153344880).

Almost surely, 2^27600445440 is an apocalyptic number.

27600445440 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 27600445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51523879680).

27600445440 is an abundant number, since it is smaller than the sum of its proper divisors (75447313920).

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

27600445440 is an frugal number, since it uses more digits than its factorization.

27600445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 27600445440 in words is "twenty-seven billion, six hundred million, four hundred forty-five thousand, four hundred forty".