8484094080 has 1152 divisors, whose sum is σ = 38601239040. Its totient is φ = 1678786560.

The previous prime is 8484094067. The next prime is 8484094081. The reversal of 8484094080 is 804904848.

8484094080 is a `hidden beast` number, since 8 + 484 + 0 + 94 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8484094081) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 180512617 + ... + 180512663.

It is an arithmetic number, because the mean of its divisors is an integer number (33508020).

Almost surely, 2^8484094080 is an apocalyptic number.

8484094080 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 8484094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19300619520).

8484094080 is an abundant number, since it is smaller than the sum of its proper divisors (30117144960).

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

8484094080 is a wasteful number, since it uses less digits than its factorization.

8484094080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 8484094080 is about 92109.1422172631. The cubic root of 8484094080 is about 2039.5537662956.

The spelling of 8484094080 in words is "eight billion, four hundred eighty-four million, ninety-four thousand, eighty".