243681300720 has 1600 divisors, whose sum is σ = 1088930304000. Its totient is φ = 49567334400.

The previous prime is 243681300701. The next prime is 243681300767. The reversal of 243681300720 is 27003186342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 488339031 + ... + 488339529.

It is an arithmetic number, because the mean of its divisors is an integer number (680581440).

Almost surely, 2^243681300720 is an apocalyptic number.

243681300720 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 243681300720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544465152000).

243681300720 is an abundant number, since it is smaller than the sum of its proper divisors (845249003280).

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

243681300720 is a wasteful number, since it uses less digits than its factorization.

243681300720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 243681300720 in words is "two hundred forty-three billion, six hundred eighty-one million, three hundred thousand, seven hundred twenty".