643400192 has 90 divisors (see below), whose sum is σ = 1380150783. Its totient is φ = 299602944.

The previous prime is 643400179. The next prime is 643400201. The reversal of 643400192 is 291004346.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 321700096 + 321700096 = 17936^2 + 17936^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=17936.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10905059 + ... + 10905117.

Almost surely, 2^643400192 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 643400192

643400192 is an abundant number, since it is smaller than the sum of its proper divisors (736750591).

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

643400192 is an frugal number, since it uses more digits than its factorization.

643400192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 643400192 is about 25365.3344547238. The cubic root of 643400192 is about 863.2973253452.

The spelling of 643400192 in words is "six hundred forty-three million, four hundred thousand, one hundred ninety-two".