27702071680 has 128 divisors (see below), whose sum is σ = 68441942880. Its totient is φ = 10713710592.

The previous prime is 27702071671. The next prime is 27702071681. The reversal of 27702071680 is 8617020772.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27702071681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3856252 + ... + 3863428.

Almost surely, 2^27702071680 is an apocalyptic number.

27702071680 is a gapful number since it is divisible by the number (20) 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 27702071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34220971440).

27702071680 is an abundant number, since it is smaller than the sum of its proper divisors (40739871200).

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

27702071680 is a wasteful number, since it uses less digits than its factorization.

27702071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7396 (or 7384 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 40.

The spelling of 27702071680 in words is "twenty-seven billion, seven hundred two million, seventy-one thousand, six hundred eighty".