643157600 has 216 divisors, whose sum is σ = 1767964968. Its totient is φ = 227635200.

The previous prime is 643157539. The next prime is 643157609. The reversal of 643157600 is 6751346.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643157609) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4909535 + ... + 4909665.

It is an arithmetic number, because the mean of its divisors is an integer number (8185023).

Almost surely, 2^643157600 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 643157600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883982484).

643157600 is an abundant number, since it is smaller than the sum of its proper divisors (1124807368).

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

643157600 is a wasteful number, since it uses less digits than its factorization.

643157600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 643157600 is about 25360.5520444646. The cubic root of 643157600 is about 863.1888105336.

The spelling of 643157600 in words is "six hundred forty-three million, one hundred fifty-seven thousand, six hundred".