643794000 has 160 divisors (see below), whose sum is σ = 2110817280. Its totient is φ = 168768000.

The previous prime is 643793993. The next prime is 643794001. The reversal of 643794000 is 497346.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643794001) 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 31 ways as a sum of consecutive naturals, for example, 365121 + ... + 366879.

It is an arithmetic number, because the mean of its divisors is an integer number (13192608).

Almost surely, 2^643794000 is an apocalyptic number.

643794000 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 643794000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055408640).

643794000 is an abundant number, since it is smaller than the sum of its proper divisors (1467023280).

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

643794000 is a wasteful number, since it uses less digits than its factorization.

643794000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 643794000 is about 25373.0959876795. The cubic root of 643794000 is about 863.4734231342.

The spelling of 643794000 in words is "six hundred forty-three million, seven hundred ninety-four thousand".