27646448256 has 768 divisors, whose sum is σ = 102295065600. Its totient is φ = 7255941120.

The previous prime is 27646448209. The next prime is 27646448261. The reversal of 27646448256 is 65284464672.

It is a happy number.

27646448256 is a `hidden beast` number, since 2 + 76 + 46 + 4 + 482 + 56 = 666.

It is a super-2 number, since 2×27646448256² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 169610031 + ... + 169610193.

It is an arithmetic number, because the mean of its divisors is an integer number (133196700).

Almost surely, 2^27646448256 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 27646448256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51147532800).

27646448256 is an abundant number, since it is smaller than the sum of its proper divisors (74648617344).

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

27646448256 is a wasteful number, since it uses less digits than its factorization.

27646448256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 235 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 27646448256 in words is "twenty-seven billion, six hundred forty-six million, four hundred forty-eight thousand, two hundred fifty-six".