84283567368 has 768 divisors, whose sum is σ = 307145986560. Its totient is φ = 18685624320.

The previous prime is 84283567339. The next prime is 84283567387. The reversal of 84283567368 is 86376538248.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 327951496 + ... + 327951752.

It is an arithmetic number, because the mean of its divisors is an integer number (399929670).

Almost surely, 2^84283567368 is an apocalyptic number.

84283567368 is a gapful number since it is divisible by the number (88) 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 84283567368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153572993280).

84283567368 is an abundant number, since it is smaller than the sum of its proper divisors (222862419192).

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

84283567368 is a wasteful number, since it uses less digits than its factorization.

84283567368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 383 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 60.

The spelling of 84283567368 in words is "eighty-four billion, two hundred eighty-three million, five hundred sixty-seven thousand, three hundred sixty-eight".