8484746240 has 176 divisors, whose sum is σ = 22061616192. Its totient is φ = 3118596096.

The previous prime is 8484746233. The next prime is 8484746251. The reversal of 8484746240 is 426474848.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3741587 + ... + 3743853.

It is an arithmetic number, because the mean of its divisors is an integer number (125350092).

Almost surely, 2^8484746240 is an apocalyptic number.

8484746240 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 8484746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11030808096).

8484746240 is an abundant number, since it is smaller than the sum of its proper divisors (13576869952).

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

8484746240 is a wasteful number, since it uses less digits than its factorization.

8484746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 47.

The square root of 8484746240 is about 92112.6822972820. The cubic root of 8484746240 is about 2039.6060241360.

The spelling of 8484746240 in words is "eight billion, four hundred eighty-four million, seven hundred forty-six thousand, two hundred forty".