84432390900 has 288 divisors, whose sum is σ = 289555717248. Its totient is φ = 18725683200.

The previous prime is 84432390883. The next prime is 84432390923. The reversal of 84432390900 is 909323448.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4838992 + ... + 4856408.

It is an arithmetic number, because the mean of its divisors is an integer number (1005401796).

Almost surely, 2^84432390900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84432390900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144777858624).

84432390900 is an abundant number, since it is smaller than the sum of its proper divisors (205123326348).

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

84432390900 is a wasteful number, since it uses less digits than its factorization.

84432390900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17571 (or 17564 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 84432390900 in words is "eighty-four billion, four hundred thirty-two million, three hundred ninety thousand, nine hundred".