4324447968768 has 640 divisors, whose sum is σ = 13728312998400. Its totient is φ = 1356860989440.

The previous prime is 4324447968767. The next prime is 4324447968821. The reversal of 4324447968768 is 8678697444234.

4324447968768 is a `hidden beast` number, since 4 + 3 + 24 + 4 + 479 + 68 + 76 + 8 = 666.

It is a super-2 number, since 2×4324447968768² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4324447968696 and 4324447968705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4324447968767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3850799055 + ... + 3850800177.

It is an arithmetic number, because the mean of its divisors is an integer number (21450489060).

Almost surely, 2^{4324447968768} is an apocalyptic number.

4324447968768 is a gapful number since it is divisible by the number (48) 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 4324447968768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6864156499200).

4324447968768 is an abundant number, since it is smaller than the sum of its proper divisors (9403865029632).

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

4324447968768 is an equidigital number, since it uses as much as digits as its factorization.

4324447968768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1328 counting only the distinct ones).

The product of its digits is 1560674304, while the sum is 72.

The spelling of 4324447968768 in words is "four trillion, three hundred twenty-four billion, four hundred forty-seven million, nine hundred sixty-eight thousand, seven hundred sixty-eight".