2727689664 has 280 divisors, whose sum is σ = 8645589008. Its totient is φ = 758661120.

The previous prime is 2727689639. The next prime is 2727689677. The reversal of 2727689664 is 4669867272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28120464 + ... + 28120560.

Almost surely, 2^2727689664 is an apocalyptic number.

2727689664 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 2727689664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322794504).

2727689664 is an abundant number, since it is smaller than the sum of its proper divisors (5917899344).

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

2727689664 is an frugal number, since it uses more digits than its factorization.

2727689664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 170 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 57.

The square root of 2727689664 is about 52227.2884994042. The cubic root of 2727689664 is about 1397.2206191577.

The spelling of 2727689664 in words is "two billion, seven hundred twenty-seven million, six hundred eighty-nine thousand, six hundred sixty-four".