84329881600 has 168 divisors, whose sum is σ = 213599194848. Its totient is φ = 33010483200.

The previous prime is 84329881513. The next prime is 84329881609. The reversal of 84329881600 is 618892348.

It is a super-2 number, since 2×84329881600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84329881609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9621220 + ... + 9629980.

Almost surely, 2^84329881600 is an apocalyptic number.

84329881600 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 84329881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106799597424).

84329881600 is an abundant number, since it is smaller than the sum of its proper divisors (129269313248).

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

84329881600 is an equidigital number, since it uses as much as digits as its factorization.

84329881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8844 (or 8815 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

The spelling of 84329881600 in words is "eighty-four billion, three hundred twenty-nine million, eight hundred eighty-one thousand, six hundred".