84127842304 has 153 divisors (see below), whose sum is σ = 186753761859. Its totient is φ = 37868666880.

The previous prime is 84127842301. The next prime is 84127842317. The reversal of 84127842304 is 40324872148.

The square root of 84127842304 is 290048.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84127842301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 816775117 + ... + 816775219.

Almost surely, 2^84127842304 is an apocalyptic number.

84127842304 is the 290048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84127842304

84127842304 is an abundant number, since it is smaller than the sum of its proper divisors (102625919555).

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

84127842304 is an frugal number, since it uses more digits than its factorization.

84127842304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 43.

The spelling of 84127842304 in words is "eighty-four billion, one hundred twenty-seven million, eight hundred forty-two thousand, three hundred four".