6424876624320 has 2016 divisors, whose sum is σ = 29672162956800. Its totient is φ = 1245294673920.

The previous prime is 6424876624297. The next prime is 6424876624333. The reversal of 6424876624320 is 234266784246.

6424876624320 is a `hidden beast` number, since 6 + 4 + 2 + 4 + 8 + 7 + 6 + 624 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3105304246 + ... + 3105306314.

It is an arithmetic number, because the mean of its divisors is an integer number (14718334800).

Almost surely, 2^{6424876624320} is an apocalyptic number.

6424876624320 is a gapful number since it is divisible by the number (60) 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 6424876624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14836081478400).

6424876624320 is an abundant number, since it is smaller than the sum of its proper divisors (23247286332480).

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

6424876624320 is a wasteful number, since it uses less digits than its factorization.

6424876624320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

The spelling of 6424876624320 in words is "six trillion, four hundred twenty-four billion, eight hundred seventy-six million, six hundred twenty-four thousand, three hundred twenty".