84594576672 has 288 divisors, whose sum is σ = 257848980480. Its totient is φ = 26249287680.

The previous prime is 84594576667. The next prime is 84594576697. The reversal of 84594576672 is 27667549548.

84594576672 is a `hidden beast` number, since 8 + 4 + 59 + 4 + 576 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

Its product of digits (101606400) is a multiple of the sum of its prime factors (1296).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 102787653 + ... + 102788475.

It is an arithmetic number, because the mean of its divisors is an integer number (895308960).

Almost surely, 2^84594576672 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 84594576672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128924490240).

84594576672 is an abundant number, since it is smaller than the sum of its proper divisors (173254403808).

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

84594576672 is a wasteful number, since it uses less digits than its factorization.

84594576672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1285 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 84594576672 in words is "eighty-four billion, five hundred ninety-four million, five hundred seventy-six thousand, six hundred seventy-two".