84444484080 has 320 divisors, whose sum is σ = 292072734720. Its totient is φ = 20010931200.

The previous prime is 84444484079. The next prime is 84444484099. The reversal of 84444484080 is 8048444448.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21479715 + ... + 21483645.

It is an arithmetic number, because the mean of its divisors is an integer number (912727296).

Almost surely, 2^84444484080 is an apocalyptic number.

84444484080 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 84444484080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146036367360).

84444484080 is an abundant number, since it is smaller than the sum of its proper divisors (207628250640).

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

84444484080 is a wasteful number, since it uses less digits than its factorization.

84444484080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4140 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 84444484080 in words is "eighty-four billion, four hundred forty-four million, four hundred eighty-four thousand, eighty".