27667706664 has 128 divisors (see below), whose sum is σ = 77822115840. Its totient is φ = 8133219072.

The previous prime is 27667706659. The next prime is 27667706683. The reversal of 27667706664 is 46660776672.

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, 7798539 + ... + 7802085.

It is an arithmetic number, because the mean of its divisors is an integer number (607985280).

Almost surely, 2^27667706664 is an apocalyptic number.

27667706664 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 27667706664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38911057920).

27667706664 is an abundant number, since it is smaller than the sum of its proper divisors (50154409176).

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

27667706664 is a wasteful number, since it uses less digits than its factorization.

27667706664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4679 (or 4675 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 57.

The spelling of 27667706664 in words is "twenty-seven billion, six hundred sixty-seven million, seven hundred six thousand, six hundred sixty-four".