243876305312640 has 8192 divisors, whose sum is σ = 1239220684800000. Its totient is φ = 44635285094400.

The previous prime is 243876305312623. The next prime is 243876305312663. The reversal of 243876305312640 is 46213503678342.

243876305312640 is a `hidden beast` number, since 2 + 4 + 3 + 8 + 7 + 63 + 0 + 531 + 2 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 2740183205716 + ... + 2740183205804.

It is an arithmetic number, because the mean of its divisors is an integer number (151272056250).

Almost surely, 2^{243876305312640} is an apocalyptic number.

243876305312640 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 243876305312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619610342400000).

243876305312640 is an abundant number, since it is smaller than the sum of its proper divisors (995344379487360).

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

243876305312640 is a wasteful number, since it uses less digits than its factorization.

243876305312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 243876305312640 in words is "two hundred forty-three trillion, eight hundred seventy-six billion, three hundred five million, three hundred twelve thousand, six hundred forty".