8484167040 has 128 divisors (see below), whose sum is σ = 27369619200. Its totient is φ = 2235144192.

The previous prime is 8484166981. The next prime is 8484167051. The reversal of 8484167040 is 407614848.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 8484166983 and 8484167001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132741 + ... + 185979.

It is an arithmetic number, because the mean of its divisors is an integer number (213825150).

Almost surely, 2^8484167040 is an apocalyptic number.

8484167040 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 8484167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13684809600).

8484167040 is an abundant number, since it is smaller than the sum of its proper divisors (18885452160).

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

8484167040 is a wasteful number, since it uses less digits than its factorization.

8484167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53344 (or 53332 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 8484167040 is about 92109.5382683031. The cubic root of 8484167040 is about 2039.5596127424.

The spelling of 8484167040 in words is "eight billion, four hundred eighty-four million, one hundred sixty-seven thousand, forty".