84468384000 has 1728 divisors, whose sum is σ = 409482597888. Its totient is φ = 16146432000.

The previous prime is 84468383977. The next prime is 84468384001. The reversal of 84468384000 is 48386448.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (84468384001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 288287854 + ... + 288288146.

It is an arithmetic number, because the mean of its divisors is an integer number (236969096).

Almost surely, 2^84468384000 is an apocalyptic number.

84468384000 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 84468384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204741298944).

84468384000 is an abundant number, since it is smaller than the sum of its proper divisors (325014213888).

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

84468384000 is a wasteful number, since it uses less digits than its factorization.

84468384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 84468384000 in words is "eighty-four billion, four hundred sixty-eight million, three hundred eighty-four thousand".