27659468672 has 64 divisors (see below), whose sum is σ = 60203064240. Its totient is φ = 12553482240.

The previous prime is 27659468657. The next prime is 27659468699. The reversal of 27659468672 is 27686495672.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 938708 + ... + 967724.

Almost surely, 2^27659468672 is an apocalyptic number.

27659468672 is a gapful number since it is divisible by the number (22) 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 27659468672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30101532120).

27659468672 is an abundant number, since it is smaller than the sum of its proper divisors (32543595568).

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

27659468672 is a wasteful number, since it uses less digits than its factorization.

27659468672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29719 (or 29707 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 62.

The spelling of 27659468672 in words is "twenty-seven billion, six hundred fifty-nine million, four hundred sixty-eight thousand, six hundred seventy-two".