27606277440 has 672 divisors, whose sum is σ = 115376212224. Its totient is φ = 6151127040.

The previous prime is 27606277417. The next prime is 27606277453. The reversal of 27606277440 is 4477260672.

27606277440 is a `hidden beast` number, since 27 + 60 + 62 + 77 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22316502 + ... + 22317738.

It is an arithmetic number, because the mean of its divisors is an integer number (171690792).

Almost surely, 2^27606277440 is an apocalyptic number.

27606277440 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 27606277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57688106112).

27606277440 is an abundant number, since it is smaller than the sum of its proper divisors (87769934784).

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

27606277440 is a wasteful number, since it uses less digits than its factorization.

27606277440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 27606277440 in words is "twenty-seven billion, six hundred six million, two hundred seventy-seven thousand, four hundred forty".