84288780003744 has 288 divisors, whose sum is σ = 260628060865536. Its totient is φ = 25737909166080.

The previous prime is 84288780003683. The next prime is 84288780003749. The reversal of 84288780003744 is 44730008788248.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (84288780003749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40638409 + ... + 42662135.

It is an arithmetic number, because the mean of its divisors is an integer number (904958544672).

Almost surely, 2^{84288780003744} 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 84288780003744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130314030432768).

84288780003744 is an abundant number, since it is smaller than the sum of its proper divisors (176339280861792).

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

84288780003744 is a wasteful number, since it uses less digits than its factorization.

84288780003744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023988 (or 2023977 counting only the distinct ones).

The product of its (nonzero) digits is 77070336, while the sum is 63.

The spelling of 84288780003744 in words is "eighty-four trillion, two hundred eighty-eight billion, seven hundred eighty million, three thousand, seven hundred forty-four".