243337076640 has 960 divisors, whose sum is σ = 1046778163200. Its totient is φ = 51996432384.

The previous prime is 243337076537. The next prime is 243337076651. The reversal of 243337076640 is 46670733342.

243337076640 is a `hidden beast` number, since 243 + 337 + 0 + 76 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 136169827 + ... + 136171613.

It is an arithmetic number, because the mean of its divisors is an integer number (1090393920).

Almost surely, 2^243337076640 is an apocalyptic number.

243337076640 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 243337076640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523389081600).

243337076640 is an abundant number, since it is smaller than the sum of its proper divisors (803441086560).

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

243337076640 is a wasteful number, since it uses less digits than its factorization.

243337076640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 45.

The spelling of 243337076640 in words is "two hundred forty-three billion, three hundred thirty-seven million, seventy-six thousand, six hundred forty".