8124360480 has 192 divisors, whose sum is σ = 29932156800. Its totient is φ = 2052449280.

The previous prime is 8124360467. The next prime is 8124360509. The reversal of 8124360480 is 840634218.

8124360480 is a `hidden beast` number, since 8 + 1 + 2 + 43 + 604 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32590 + ... + 131570.

It is an arithmetic number, because the mean of its divisors is an integer number (155896650).

Almost surely, 2^8124360480 is an apocalyptic number.

8124360480 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 8124360480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14966078400).

8124360480 is an abundant number, since it is smaller than the sum of its proper divisors (21807796320).

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

8124360480 is a wasteful number, since it uses less digits than its factorization.

8124360480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99024 (or 99010 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8124360480 is about 90135.2343980976. The cubic root of 8124360480 is about 2010.3101325868.

Adding to 8124360480 its reverse (840634218), we get a palindrome (8964994698).

The spelling of 8124360480 in words is "eight billion, one hundred twenty-four million, three hundred sixty thousand, four hundred eighty".