643366242600312 has 256 divisors, whose sum is σ = 2124088636538880. Its totient is φ = 157216552704000.

The previous prime is 643366242600259. The next prime is 643366242600371. The reversal of 643366242600312 is 213006242663346.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76128313 + ... + 84156119.

It is an arithmetic number, because the mean of its divisors is an integer number (8297221236480).

Almost surely, 2^{643366242600312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643366242600312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062044318269440).

643366242600312 is an abundant number, since it is smaller than the sum of its proper divisors (1480722393938568).

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

643366242600312 is a wasteful number, since it uses less digits than its factorization.

643366242600312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8030402 (or 8030398 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 48.

The spelling of 643366242600312 in words is "six hundred forty-three trillion, three hundred sixty-six billion, two hundred forty-two million, six hundred thousand, three hundred twelve".