643418496 has 192 divisors, whose sum is σ = 2146953120. Its totient is φ = 181149696.

The previous prime is 643418473. The next prime is 643418507. The reversal of 643418496 is 694814346.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 588126 + ... + 589218.

Almost surely, 2^643418496 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 643418496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073476560).

643418496 is an abundant number, since it is smaller than the sum of its proper divisors (1503534624).

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

643418496 is a wasteful number, since it uses less digits than its factorization.

643418496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1178 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 643418496 is about 25365.6952595430. The cubic root of 643418496 is about 863.3055118749.

The spelling of 643418496 in words is "six hundred forty-three million, four hundred eighteen thousand, four hundred ninety-six".