84314424480 has 576 divisors, whose sum is σ = 319085827200. Its totient is φ = 18546278400.

The previous prime is 84314424451. The next prime is 84314424503. The reversal of 84314424480 is 8442441348.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 54430746 + ... + 54432294.

It is an arithmetic number, because the mean of its divisors is an integer number (553968450).

Almost surely, 2^84314424480 is an apocalyptic number.

84314424480 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 84314424480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159542913600).

84314424480 is an abundant number, since it is smaller than the sum of its proper divisors (234771402720).

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

84314424480 is a wasteful number, since it uses less digits than its factorization.

84314424480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 42.

The spelling of 84314424480 in words is "eighty-four billion, three hundred fourteen million, four hundred twenty-four thousand, four hundred eighty".