27686697984 has 264 divisors, whose sum is σ = 88875204912. Its totient is φ = 8230010880.

The previous prime is 27686697943. The next prime is 27686698019. The reversal of 27686697984 is 48979668672.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5370352 + ... + 5375504.

Almost surely, 2^27686697984 is an apocalyptic number.

27686697984 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 27686697984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44437602456).

27686697984 is an abundant number, since it is smaller than the sum of its proper divisors (61188506928).

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

27686697984 is a wasteful number, since it uses less digits than its factorization.

27686697984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5243 (or 5222 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 72.

The spelling of 27686697984 in words is "twenty-seven billion, six hundred eighty-six million, six hundred ninety-seven thousand, nine hundred eighty-four".