27802437168 has 180 divisors, whose sum is σ = 82536687800. Its totient is φ = 8057786880.

The previous prime is 27802437167. The next prime is 27802437197. The reversal of 27802437168 is 86173420872.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (27802437167) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3067908 + ... + 3076956.

Almost surely, 2^27802437168 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 27802437168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41268343900).

27802437168 is an abundant number, since it is smaller than the sum of its proper divisors (54734250632).

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

27802437168 is a wasteful number, since it uses less digits than its factorization.

27802437168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9128 (or 9088 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 27802437168 in words is "twenty-seven billion, eight hundred two million, four hundred thirty-seven thousand, one hundred sixty-eight".