27238631616 has 448 divisors, whose sum is σ = 100048527360. Its totient is φ = 7086735360.

The previous prime is 27238631603. The next prime is 27238631677. The reversal of 27238631616 is 61613683272.

27238631616 is a `hidden beast` number, since 2 + 7 + 2 + 3 + 8 + 631 + 6 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a nude number because it is divisible by every one of its digits.

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, 6372456 + ... + 6376728.

Almost surely, 2^27238631616 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 27238631616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50024263680).

27238631616 is an abundant number, since it is smaller than the sum of its proper divisors (72809895744).

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

27238631616 is a wasteful number, since it uses less digits than its factorization.

27238631616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4349 (or 4333 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 27238631616 in words is "twenty-seven billion, two hundred thirty-eight million, six hundred thirty-one thousand, six hundred sixteen".