27761636448 has 288 divisors, whose sum is σ = 97762968576. Its totient is φ = 7276760064.

The previous prime is 27761636437. The next prime is 27761636471. The reversal of 27761636448 is 84463616772.

27761636448 is a `hidden beast` number, since 277 + 6 + 1 + 6 + 364 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 27761636394 and 27761636403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4373565 + ... + 4379907.

It is an arithmetic number, because the mean of its divisors is an integer number (339454752).

Almost surely, 2^27761636448 is an apocalyptic number.

27761636448 is a gapful number since it is divisible by the number (28) 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 27761636448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48881484288).

27761636448 is an abundant number, since it is smaller than the sum of its proper divisors (70001332128).

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

27761636448 is a wasteful number, since it uses less digits than its factorization.

27761636448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6546 (or 6535 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 27761636448 in words is "twenty-seven billion, seven hundred sixty-one million, six hundred thirty-six thousand, four hundred forty-eight".