84010456320 has 576 divisors, whose sum is σ = 324381818880. Its totient is φ = 18122342400.

The previous prime is 84010456261. The next prime is 84010456331. The reversal of 84010456320 is 2365401048.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 34163251 + ... + 34165709.

It is an arithmetic number, because the mean of its divisors is an integer number (563162880).

Almost surely, 2^84010456320 is an apocalyptic number.

84010456320 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 84010456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162190909440).

84010456320 is an abundant number, since it is smaller than the sum of its proper divisors (240371362560).

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

84010456320 is a wasteful number, since it uses less digits than its factorization.

84010456320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2562 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 84010456320 its reverse (2365401048), we get a palindrome (86375857368).

The spelling of 84010456320 in words is "eighty-four billion, ten million, four hundred fifty-six thousand, three hundred twenty".