827734727412 has 120 divisors (see below), whose sum is σ = 2182554851400. Its totient is φ = 273536040960.

The previous prime is 827734727401. The next prime is 827734727429. The reversal of 827734727412 is 214727437728.

827734727412 is a `hidden beast` number, since 8 + 27 + 7 + 347 + 274 + 1 + 2 = 666.

827734727412 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 78747876 + 827655979536 = 8874^2 + 909756^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22821612 + ... + 22857852.

It is an arithmetic number, because the mean of its divisors is an integer number (18187957095).

Almost surely, 2^827734727412 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 827734727412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091277425700).

827734727412 is an abundant number, since it is smaller than the sum of its proper divisors (1354820123988).

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

827734727412 is a wasteful number, since it uses less digits than its factorization.

827734727412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36863 (or 36852 counting only the distinct ones).

The product of its digits is 7375872, while the sum is 54.

The spelling of 827734727412 in words is "eight hundred twenty-seven billion, seven hundred thirty-four million, seven hundred twenty-seven thousand, four hundred twelve".