27144230064 has 160 divisors (see below), whose sum is σ = 82619235840. Its totient is φ = 7519205376.

The previous prime is 27144230059. The next prime is 27144230083. The reversal of 27144230064 is 46003244172.

It is a super-2 number, since 2×27144230064² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1437774 + ... + 1456530.

It is an arithmetic number, because the mean of its divisors is an integer number (516370224).

Almost surely, 2^27144230064 is an apocalyptic number.

27144230064 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 27144230064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41309617920).

27144230064 is an abundant number, since it is smaller than the sum of its proper divisors (55475005776).

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

27144230064 is a wasteful number, since it uses less digits than its factorization.

27144230064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18907 (or 18901 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 27144230064 in words is "twenty-seven billion, one hundred forty-four million, two hundred thirty thousand, sixty-four".