27678087672 has 96 divisors (see below), whose sum is σ = 70502192640. Its totient is φ = 9054448000.

The previous prime is 27678087667. The next prime is 27678087673.

It is a happy number.

27678087672 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27678087673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32071513 + ... + 32072375.

It is an arithmetic number, because the mean of its divisors is an integer number (734397840).

Almost surely, 2^27678087672 is an apocalyptic number.

It is an amenable number.

27678087672 is an abundant number, since it is smaller than the sum of its proper divisors (42824104968).

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

27678087672 is a wasteful number, since it uses less digits than its factorization.

27678087672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 22127616, while the sum is 60.

The spelling of 27678087672 in words is "twenty-seven billion, six hundred seventy-eight million, eighty-seven thousand, six hundred seventy-two".