27801674274 has 64 divisors (see below), whose sum is σ = 62362742400. Its totient is φ = 8188485120.

The previous prime is 27801674249. The next prime is 27801674347. The reversal of 27801674274 is 47247610872.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2556232 + ... + 2567084.

It is an arithmetic number, because the mean of its divisors is an integer number (974417850).

Almost surely, 2^27801674274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27801674274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31181371200).

27801674274 is an abundant number, since it is smaller than the sum of its proper divisors (34561068126).

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

27801674274 is a wasteful number, since it uses less digits than its factorization.

27801674274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11955.

The product of its (nonzero) digits is 1053696, while the sum is 48.

The spelling of 27801674274 in words is "twenty-seven billion, eight hundred one million, six hundred seventy-four thousand, two hundred seventy-four".