27634243672 has 64 divisors (see below), whose sum is σ = 60377944320. Its totient is φ = 11611237248.

The previous prime is 27634243669. The next prime is 27634243697.

27634243672 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5538763 + ... + 5543749.

It is an arithmetic number, because the mean of its divisors is an integer number (943405380).

Almost surely, 2^27634243672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27634243672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30188972160).

27634243672 is an abundant number, since it is smaller than the sum of its proper divisors (32743700648).

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

27634243672 is a wasteful number, since it uses less digits than its factorization.

27634243672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6920 (or 6916 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 46.

The spelling of 27634243672 in words is "twenty-seven billion, six hundred thirty-four million, two hundred forty-three thousand, six hundred seventy-two".