84221641728 has 528 divisors, whose sum is σ = 292728205440. Its totient is φ = 23431790592.

The previous prime is 84221641717. The next prime is 84221641781. The reversal of 84221641728 is 82714612248.

84221641728 is a `hidden beast` number, since 8 + 4 + 221 + 6 + 417 + 2 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (344064) is a multiple of the sum of its prime divisors (256).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427520926 + ... + 427521122.

It is an arithmetic number, because the mean of its divisors is an integer number (554409480).

Almost surely, 2^84221641728 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 84221641728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146364102720).

84221641728 is an abundant number, since it is smaller than the sum of its proper divisors (208506563712).

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

84221641728 is a wasteful number, since it uses less digits than its factorization.

84221641728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 256 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The spelling of 84221641728 in words is "eighty-four billion, two hundred twenty-one million, six hundred forty-one thousand, seven hundred twenty-eight".