827771307642 has 24 divisors (see below), whose sum is σ = 1871482957344. Its totient is φ = 263927083464.

The previous prime is 827771307593. The next prime is 827771307647. The reversal of 827771307642 is 246703177728.

827771307642 is a `hidden beast` number, since 8 + 277 + 7 + 1 + 307 + 64 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (827771307647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 999723388 + ... + 999724215.

It is an arithmetic number, because the mean of its divisors is an integer number (77978456556).

Almost surely, 2^827771307642 is an apocalyptic number.

827771307642 is an abundant number, since it is smaller than the sum of its proper divisors (1043711649702).

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

827771307642 is a wasteful number, since it uses less digits than its factorization.

827771307642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999447634 (or 1999447631 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 827771307642 in words is "eight hundred twenty-seven billion, seven hundred seventy-one million, three hundred seven thousand, six hundred forty-two".