8412643307520 has 520 divisors, whose sum is σ = 30183992136144. Its totient is φ = 2241379565568.

The previous prime is 8412643307507. The next prime is 8412643307533. The reversal of 8412643307520 is 257033462148.

8412643307520 is a `hidden beast` number, since 8 + 4 + 1 + 264 + 330 + 7 + 52 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8412643307507) and next prime (8412643307533).

It is a super-2 number, since 2×8412643307520² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3710913427 + ... + 3710915693.

Almost surely, 2^{8412643307520} is an apocalyptic number.

8412643307520 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 8412643307520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15091996068072).

8412643307520 is an abundant number, since it is smaller than the sum of its proper divisors (21771348828624).

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

8412643307520 is a wasteful number, since it uses less digits than its factorization.

8412643307520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4545 (or 4514 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

Adding to 8412643307520 its reverse (257033462148), we get a palindrome (8669676769668).

The spelling of 8412643307520 in words is "eight trillion, four hundred twelve billion, six hundred forty-three million, three hundred seven thousand, five hundred twenty".