27634641952 has 96 divisors (see below), whose sum is σ = 57073690800. Its totient is φ = 13154254848.

The previous prime is 27634641943. The next prime is 27634641971. The reversal of 27634641952 is 25914643672.

It can be written as a sum of positive squares in 8 ways, for example, as 3149903376 + 24484738576 = 56124^2 + 156476^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27634641896 and 27634641905.

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, 38976574 + ... + 38977282.

Almost surely, 2^27634641952 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 27634641952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28536845400).

27634641952 is an abundant number, since it is smaller than the sum of its proper divisors (29439048848).

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

27634641952 is a wasteful number, since it uses less digits than its factorization.

27634641952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1270 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 49.

The spelling of 27634641952 in words is "twenty-seven billion, six hundred thirty-four million, six hundred forty-one thousand, nine hundred fifty-two".