643059648 has 392 divisors, whose sum is σ = 2398654080. Its totient is φ = 166095360.

The previous prime is 643059647. The next prime is 643059649. The reversal of 643059648 is 846950346.

It is an interprime number because it is at equal distance from previous prime (643059647) and next prime (643059649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643059643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3592423 + ... + 3592601.

Almost surely, 2^643059648 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 643059648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199327040).

643059648 is an abundant number, since it is smaller than the sum of its proper divisors (1755594432).

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

643059648 is a wasteful number, since it uses less digits than its factorization.

643059648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 643059648 is about 25358.6207826845. The cubic root of 643059648 is about 863.1449874939.

The spelling of 643059648 in words is "six hundred forty-three million, fifty-nine thousand, six hundred forty-eight".