643200380160 has 1152 divisors, whose sum is σ = 2525431136256. Its totient is φ = 137806479360.

The previous prime is 643200380131. The next prime is 643200380161. The reversal of 643200380160 is 61083002346.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643200380161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 605079789 + ... + 605080851.

It is an arithmetic number, because the mean of its divisors is an integer number (2192214528).

Almost surely, 2^643200380160 is an apocalyptic number.

643200380160 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 643200380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262715568128).

643200380160 is an abundant number, since it is smaller than the sum of its proper divisors (1882230756096).

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

643200380160 is a wasteful number, since it uses less digits than its factorization.

643200380160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 643200380160 in words is "six hundred forty-three billion, two hundred million, three hundred eighty thousand, one hundred sixty".