243720716400 has 960 divisors, whose sum is σ = 1020056140800. Its totient is φ = 54120960000.

The previous prime is 243720716389. The next prime is 243720716431. The reversal of 243720716400 is 4617027342.

243720716400 is a `hidden beast` number, since 2 + 4 + 3 + 7 + 2 + 0 + 7 + 1 + 640 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 450500130 + ... + 450500670.

It is an arithmetic number, because the mean of its divisors is an integer number (1062558480).

Almost surely, 2^243720716400 is an apocalyptic number.

243720716400 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 243720716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510028070400).

243720716400 is an abundant number, since it is smaller than the sum of its proper divisors (776335424400).

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

243720716400 is a wasteful number, since it uses less digits than its factorization.

243720716400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 243720716400 in words is "two hundred forty-three billion, seven hundred twenty million, seven hundred sixteen thousand, four hundred".