27705846630 has 128 divisors (see below), whose sum is σ = 83296014336. Its totient is φ = 5729673600.

The previous prime is 27705846589. The next prime is 27705846643. The reversal of 27705846630 is 3664850772.

It is a super-2 number, since 2×27705846630² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 27705846630.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 458989 + ... + 515831.

It is an arithmetic number, because the mean of its divisors is an integer number (650750112).

Almost surely, 2^27705846630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27705846630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41648007168).

27705846630 is an abundant number, since it is smaller than the sum of its proper divisors (55590167706).

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

27705846630 is a wasteful number, since it uses less digits than its factorization.

27705846630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57082.

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 27705846630 in words is "twenty-seven billion, seven hundred five million, eight hundred forty-six thousand, six hundred thirty".