84328095600 has 960 divisors, whose sum is σ = 355857223680. Its totient is φ = 18800501760.

The previous prime is 84328095589. The next prime is 84328095673. The reversal of 84328095600 is 659082348.

84328095600 is a `hidden beast` number, since 8 + 4 + 3 + 2 + 80 + 9 + 560 + 0 = 666.

It is a super-2 number, since 2×84328095600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent 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, 287809054 + ... + 287809346.

It is an arithmetic number, because the mean of its divisors is an integer number (370684608).

Almost surely, 2^84328095600 is an apocalyptic number.

84328095600 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 84328095600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177928611840).

84328095600 is an abundant number, since it is smaller than the sum of its proper divisors (271529128080).

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

84328095600 is a wasteful number, since it uses less digits than its factorization.

84328095600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 84328095600 in words is "eighty-four billion, three hundred twenty-eight million, ninety-five thousand, six hundred".