84546846720 has 384 divisors, whose sum is σ = 335002337280. Its totient is φ = 19322634240.

The previous prime is 84546846667. The next prime is 84546846739. The reversal of 84546846720 is 2764864548.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10317825 + ... + 10326015.

It is an arithmetic number, because the mean of its divisors is an integer number (872401920).

Almost surely, 2^84546846720 is an apocalyptic number.

84546846720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84546846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167501168640).

84546846720 is an abundant number, since it is smaller than the sum of its proper divisors (250455490560).

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

84546846720 is an equidigital number, since it uses as much as digits as its factorization.

84546846720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8239 (or 8208 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 84546846720 in words is "eighty-four billion, five hundred forty-six million, eight hundred forty-six thousand, seven hundred twenty".