27334446216 has 256 divisors, whose sum is σ = 90110361600. Its totient is φ = 6694099200.

The previous prime is 27334446211. The next prime is 27334446247. The reversal of 27334446216 is 61264443372.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (27334446211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7828231 + ... + 7831721.

It is an arithmetic number, because the mean of its divisors is an integer number (351993600).

Almost surely, 2^27334446216 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 27334446216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45055180800).

27334446216 is an abundant number, since it is smaller than the sum of its proper divisors (62775915384).

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

27334446216 is a wasteful number, since it uses less digits than its factorization.

27334446216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760 (or 3756 counting only the distinct ones).

The product of its digits is 580608, while the sum is 42.

Adding to 27334446216 its reverse (61264443372), we get a palindrome (88598889588).

The spelling of 27334446216 in words is "twenty-seven billion, three hundred thirty-four million, four hundred forty-six thousand, two hundred sixteen".