27934064600 has 96 divisors (see below), whose sum is σ = 71431053120. Its totient is φ = 10094622720.

The previous prime is 27934064563. The next prime is 27934064621. The reversal of 27934064600 is 646043972.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7904 + ... + 236496.

It is an arithmetic number, because the mean of its divisors is an integer number (744073470).

Almost surely, 2^27934064600 is an apocalyptic number.

27934064600 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 27934064600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35715526560).

27934064600 is an abundant number, since it is smaller than the sum of its proper divisors (43496988520).

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

27934064600 is a wasteful number, since it uses less digits than its factorization.

27934064600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228669 (or 228660 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The spelling of 27934064600 in words is "twenty-seven billion, nine hundred thirty-four million, sixty-four thousand, six hundred".