643424382720 has 864 divisors, whose sum is σ = 2668700361600. Its totient is φ = 140014780416.

The previous prime is 643424382709. The next prime is 643424382721. The reversal of 643424382720 is 27283424346.

643424382720 is a `hidden beast` number, since 6 + 4 + 342 + 4 + 38 + 272 + 0 = 666.

It is a super-2 number, since 2×643424382720² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643424382721) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 170712996 + ... + 170716764.

Almost surely, 2^643424382720 is an apocalyptic number.

643424382720 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 643424382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334350180800).

643424382720 is an abundant number, since it is smaller than the sum of its proper divisors (2025275978880).

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

643424382720 is a wasteful number, since it uses less digits than its factorization.

643424382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 643424382720 in words is "six hundred forty-three billion, four hundred twenty-four million, three hundred eighty-two thousand, seven hundred twenty".