84318765440 has 512 divisors, whose sum is σ = 272585779200. Its totient is φ = 24174526464.

The previous prime is 84318765407. The next prime is 84318765469. The reversal of 84318765440 is 4456781348.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25449224 + ... + 25452536.

It is an arithmetic number, because the mean of its divisors is an integer number (532394100).

Almost surely, 2^84318765440 is an apocalyptic number.

84318765440 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 84318765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136292889600).

84318765440 is an abundant number, since it is smaller than the sum of its proper divisors (188267013760).

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

84318765440 is a wasteful number, since it uses less digits than its factorization.

84318765440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 50.

The spelling of 84318765440 in words is "eighty-four billion, three hundred eighteen million, seven hundred sixty-five thousand, four hundred forty".