27661458630 has 96 divisors (see below), whose sum is σ = 73830451104. Its totient is φ = 6624903168.

The previous prime is 27661458611. The next prime is 27661458637. The reversal of 27661458630 is 3685416672.

It is a self number, because there is not a number n which added to its sum of digits gives 27661458630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27661458637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113862 + ... + 261318.

It is an arithmetic number, because the mean of its divisors is an integer number (769067199).

Almost surely, 2^27661458630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27661458630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36915225552).

27661458630 is an abundant number, since it is smaller than the sum of its proper divisors (46168992474).

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

27661458630 is a wasteful number, since it uses less digits than its factorization.

27661458630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147530 (or 147517 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 27661458630 in words is "twenty-seven billion, six hundred sixty-one million, four hundred fifty-eight thousand, six hundred thirty".