27874214760 has 128 divisors (see below), whose sum is σ = 96462213120. Its totient is φ = 6311684352.

The previous prime is 27874214749. The next prime is 27874214831. The reversal of 27874214760 is 6741247872.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65184 + ... + 244943.

It is an arithmetic number, because the mean of its divisors is an integer number (753611040).

Almost surely, 2^27874214760 is an apocalyptic number.

27874214760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27874214760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48231106560).

27874214760 is an abundant number, since it is smaller than the sum of its proper divisors (68587998360).

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

27874214760 is a wasteful number, since it uses less digits than its factorization.

27874214760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310255 (or 310251 counting only the distinct ones).

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

The spelling of 27874214760 in words is "twenty-seven billion, eight hundred seventy-four million, two hundred fourteen thousand, seven hundred sixty".