84578448240 has 1280 divisors, whose sum is σ = 361096888320. Its totient is φ = 18065203200.

The previous prime is 84578448223. The next prime is 84578448247. The reversal of 84578448240 is 4284487548.

84578448240 is a `hidden beast` number, since 8 + 4 + 578 + 4 + 48 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84578448247) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 1158608844 + ... + 1158608916.

It is an arithmetic number, because the mean of its divisors is an integer number (282106944).

Almost surely, 2^84578448240 is an apocalyptic number.

84578448240 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 84578448240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180548444160).

84578448240 is an abundant number, since it is smaller than the sum of its proper divisors (276518440080).

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

84578448240 is a wasteful number, since it uses less digits than its factorization.

84578448240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 9175040, while the sum is 54.

The spelling of 84578448240 in words is "eighty-four billion, five hundred seventy-eight million, four hundred forty-eight thousand, two hundred forty".