243764480200 has 96 divisors (see below), whose sum is σ = 580728456000. Its totient is φ = 95107541760.

The previous prime is 243764480191. The next prime is 243764480209. The reversal of 243764480200 is 2084467342.

It is an interprime number because it is at equal distance from previous prime (243764480191) and next prime (243764480209).

It is a super-2 number, since 2×243764480200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (243764480209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6370726 + ... + 6408874.

It is an arithmetic number, because the mean of its divisors is an integer number (6049254750).

Almost surely, 2^243764480200 is an apocalyptic number.

243764480200 is a gapful number since it is divisible by the number (20) 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 243764480200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290364228000).

243764480200 is an abundant number, since it is smaller than the sum of its proper divisors (336963975800).

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

243764480200 is a wasteful number, since it uses less digits than its factorization.

243764480200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38951 (or 38942 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 243764480200 in words is "two hundred forty-three billion, seven hundred sixty-four million, four hundred eighty thousand, two hundred".