84432741120 has 1728 divisors, whose sum is σ = 394983214080. Its totient is φ = 16769286144.

The previous prime is 84432741073. The next prime is 84432741121. The reversal of 84432741120 is 2114723448.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84432741121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 537788082 + ... + 537788238.

Almost surely, 2^84432741120 is an apocalyptic number.

84432741120 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 84432741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197491607040).

84432741120 is an abundant number, since it is smaller than the sum of its proper divisors (310550472960).

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

84432741120 is a wasteful number, since it uses less digits than its factorization.

84432741120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 84432741120 in words is "eighty-four billion, four hundred thirty-two million, seven hundred forty-one thousand, one hundred twenty".