84384153600 has 504 divisors, whose sum is σ = 296453265360. Its totient is φ = 21139292160.

The previous prime is 84384153559. The next prime is 84384153643. The reversal of 84384153600 is 635148348.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2280652782 + ... + 2280652818.

Almost surely, 2^84384153600 is an apocalyptic number.

84384153600 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 84384153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148226632680).

84384153600 is an abundant number, since it is smaller than the sum of its proper divisors (212069111760).

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

84384153600 is an frugal number, since it uses more digits than its factorization.

84384153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 84384153600 in words is "eighty-four billion, three hundred eighty-four million, one hundred fifty-three thousand, six hundred".