643224960 has 576 divisors, whose sum is σ = 2693742480. Its totient is φ = 140894208.

The previous prime is 643224947. The next prime is 643224977. The reversal of 643224960 is 69422346.

643224960 is a `hidden beast` number, since 643 + 2 + 2 + 4 + 9 + 6 + 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 an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 12136294 + ... + 12136346.

Almost surely, 2^643224960 is an apocalyptic number.

643224960 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 643224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346871240).

643224960 is an abundant number, since it is smaller than the sum of its proper divisors (2050517520).

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

643224960 is a wasteful number, since it uses less digits than its factorization.

643224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 643224960 is about 25361.8800564942. The cubic root of 643224960 is about 863.2189443445.

The spelling of 643224960 in words is "six hundred forty-three million, two hundred twenty-four thousand, nine hundred sixty".