6424199324928 has 1296 divisors, whose sum is σ = 24380660304000. Its totient is φ = 1612696780800.

The previous prime is 6424199324909. The next prime is 6424199324951. The reversal of 6424199324928 is 8294239914246.

6424199324928 is a `hidden beast` number, since 6 + 4 + 24 + 1 + 99 + 32 + 492 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8353964928 + ... + 8353965696.

Almost surely, 2^{6424199324928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6424199324928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12190330152000).

6424199324928 is an abundant number, since it is smaller than the sum of its proper divisors (17956460979072).

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

6424199324928 is a wasteful number, since it uses less digits than its factorization.

6424199324928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 823 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 6424199324928 in words is "six trillion, four hundred twenty-four billion, one hundred ninety-nine million, three hundred twenty-four thousand, nine hundred twenty-eight".