84364334340 has 384 divisors, whose sum is σ = 287532564480. Its totient is φ = 18202060800.

The previous prime is 84364334297. The next prime is 84364334359. The reversal of 84364334340 is 4343346348.

It is a junction number, because it is equal to n+sod(n) for n = 84364334292 and 84364334301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111445242 + ... + 111445998.

It is an arithmetic number, because the mean of its divisors is an integer number (748782720).

Almost surely, 2^84364334340 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 84364334340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143766282240).

84364334340 is an abundant number, since it is smaller than the sum of its proper divisors (203168230140).

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

84364334340 is a wasteful number, since it uses less digits than its factorization.

84364334340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 42.

The spelling of 84364334340 in words is "eighty-four billion, three hundred sixty-four million, three hundred thirty-four thousand, three hundred forty".