84717804672 has 192 divisors, whose sum is σ = 249875683200. Its totient is φ = 27535915008.

The previous prime is 84717804667. The next prime is 84717804673. The reversal of 84717804672 is 27640871748.

84717804672 is a `hidden beast` number, since 8 + 4 + 7 + 178 + 0 + 467 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (84717804673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41064313 + ... + 41066375.

It is an arithmetic number, because the mean of its divisors is an integer number (1301435850).

Almost surely, 2^84717804672 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 84717804672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124937841600).

84717804672 is an abundant number, since it is smaller than the sum of its proper divisors (165157878528).

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

84717804672 is a wasteful number, since it uses less digits than its factorization.

84717804672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 84717804672 in words is "eighty-four billion, seven hundred seventeen million, eight hundred four thousand, six hundred seventy-two".