27666617344 has 132 divisors (see below), whose sum is σ = 57706805052. Its totient is φ = 13252362240.

The previous prime is 27666617339. The next prime is 27666617449. The reversal of 27666617344 is 44371666672.

It can be written as a sum of positive squares in 6 ways, for example, as 5142610944 + 22524006400 = 71712^2 + 150080^2 .

It is a super-2 number, since 2×27666617344² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27666617291 and 27666617300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201946044 + ... + 201946180.

Almost surely, 2^27666617344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27666617344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28853402526).

27666617344 is an abundant number, since it is smaller than the sum of its proper divisors (30040187708).

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

27666617344 is an equidigital number, since it uses as much as digits as its factorization.

27666617344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 253 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 52.

The spelling of 27666617344 in words is "twenty-seven billion, six hundred sixty-six million, six hundred seventeen thousand, three hundred forty-four".