27642653064 has 96 divisors (see below), whose sum is σ = 81378198720. Its totient is φ = 8425911168.

The previous prime is 27642653039. The next prime is 27642653069. The reversal of 27642653064 is 46035624672.

27642653064 is a `hidden beast` number, since 2 + 76 + 42 + 6 + 530 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (27642653069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37852 + ... + 238155.

It is an arithmetic number, because the mean of its divisors is an integer number (847689570).

Almost surely, 2^27642653064 is an apocalyptic number.

27642653064 is a gapful number since it is divisible by the number (24) 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 27642653064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40689099360).

27642653064 is an abundant number, since it is smaller than the sum of its proper divisors (53735545656).

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

27642653064 is a wasteful number, since it uses less digits than its factorization.

27642653064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276139 (or 276132 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 27642653064 in words is "twenty-seven billion, six hundred forty-two million, six hundred fifty-three thousand, sixty-four".