643082400 has 108 divisors (see below), whose sum is σ = 2267694702. Its totient is φ = 171486720.

The previous prime is 643082399. The next prime is 643082437. The reversal of 643082400 is 4280346.

643082400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 451647504 + 191434896 = 21252^2 + 13836^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37459 + ... + 51858.

Almost surely, 2^643082400 is an apocalyptic number.

643082400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

643082400 is an abundant number, since it is smaller than the sum of its proper divisors (1624612302).

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

643082400 is a wasteful number, since it uses less digits than its factorization.

643082400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89343 (or 89327 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 643082400 is about 25359.0693835559. The cubic root of 643082400 is about 863.1551669764.

The spelling of 643082400 in words is "six hundred forty-three million, eighty-two thousand, four hundred".