27807708672 has 320 divisors, whose sum is σ = 84977418240. Its totient is φ = 8973877248.

The previous prime is 27807708623. The next prime is 27807708701. The reversal of 27807708672 is 27680770872.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82515288 + ... + 82515624.

It is an arithmetic number, because the mean of its divisors is an integer number (265554432).

Almost surely, 2^27807708672 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 27807708672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42488709120).

27807708672 is an abundant number, since it is smaller than the sum of its proper divisors (57169709568).

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

27807708672 is a wasteful number, since it uses less digits than its factorization.

27807708672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 54.

The spelling of 27807708672 in words is "twenty-seven billion, eight hundred seven million, seven hundred eight thousand, six hundred seventy-two".