84006873216 has 576 divisors, whose sum is σ = 295410735360. Its totient is φ = 22817894400.

The previous prime is 84006873191. The next prime is 84006873229. The reversal of 84006873216 is 61237860048.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106742775 + ... + 106743561.

It is an arithmetic number, because the mean of its divisors is an integer number (512865860).

Almost surely, 2^84006873216 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 84006873216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147705367680).

84006873216 is an abundant number, since it is smaller than the sum of its proper divisors (211403862144).

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

84006873216 is a wasteful number, since it uses less digits than its factorization.

84006873216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 84006873216 in words is "eighty-four billion, six million, eight hundred seventy-three thousand, two hundred sixteen".