84424704000 has 960 divisors, whose sum is σ = 348083054592. Its totient is φ = 17694720000.

The previous prime is 84424703999. The next prime is 84424704031. The reversal of 84424704000 is 40742448.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 559103925 + ... + 559104075.

Almost surely, 2^84424704000 is an apocalyptic number.

84424704000 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 84424704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174041527296).

84424704000 is an abundant number, since it is smaller than the sum of its proper divisors (263658350592).

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

84424704000 is a wasteful number, since it uses less digits than its factorization.

84424704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The spelling of 84424704000 in words is "eighty-four billion, four hundred twenty-four million, seven hundred four thousand".