643294080 has 576 divisors, whose sum is σ = 2666532960. Its totient is φ = 141926400.

The previous prime is 643294027. The next prime is 643294081. The reversal of 643294080 is 80492346.

It is a happy number.

643294080 is a `hidden beast` number, since 643 + 2 + 9 + 4 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643294081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9060445 + ... + 9060515.

Almost surely, 2^643294080 is an apocalyptic number.

643294080 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 643294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333266480).

643294080 is an abundant number, since it is smaller than the sum of its proper divisors (2023238880).

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

643294080 is a wasteful number, since it uses less digits than its factorization.

643294080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 643294080 is about 25363.2426948921. The cubic root of 643294080 is about 863.2498633128.

The spelling of 643294080 in words is "six hundred forty-three million, two hundred ninety-four thousand, eighty".