84323761704 has 288 divisors, whose sum is σ = 287567280000. Its totient is φ = 22125083904.

The previous prime is 84323761703. The next prime is 84323761727. The reversal of 84323761704 is 40716732348.

84323761704 is a `hidden beast` number, since 8 + 4 + 3 + 23 + 7 + 617 + 0 + 4 = 666.

It is a super-2 number, since 2×84323761704² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84323761704.

It is not an unprimeable number, because it can be changed into a prime (84323761703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9122317 + ... + 9131555.

It is an arithmetic number, because the mean of its divisors is an integer number (998497500).

Almost surely, 2^84323761704 is an apocalyptic number.

84323761704 is a gapful number since it is divisible by the number (84) 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 84323761704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143783640000).

84323761704 is an abundant number, since it is smaller than the sum of its proper divisors (203243518296).

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

84323761704 is a wasteful number, since it uses less digits than its factorization.

84323761704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9477 (or 9463 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 84323761704 in words is "eighty-four billion, three hundred twenty-three million, seven hundred sixty-one thousand, seven hundred four".