84398832672 has 384 divisors, whose sum is σ = 305188466688. Its totient is φ = 19734528000.

The previous prime is 84398832671. The next prime is 84398832673. The reversal of 84398832672 is 27623889348.

It is an interprime number because it is at equal distance from previous prime (84398832671) and next prime (84398832673).

It is not an unprimeable number, because it can be changed into a prime (84398832671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2875672 + ... + 2904872.

It is an arithmetic number, because the mean of its divisors is an integer number (794761632).

Almost surely, 2^84398832672 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 84398832672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152594233344).

84398832672 is an abundant number, since it is smaller than the sum of its proper divisors (220789634016).

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

84398832672 is a wasteful number, since it uses less digits than its factorization.

84398832672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29272 (or 29264 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 60.

The spelling of 84398832672 in words is "eighty-four billion, three hundred ninety-eight million, eight hundred thirty-two thousand, six hundred seventy-two".