643075672050336 has 384 divisors, whose sum is σ = 2006676080640000. Its totient is φ = 176487174549504.

The previous prime is 643075672050269. The next prime is 643075672050341. The reversal of 643075672050336 is 633050276570346.

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, 28519021590 + ... + 28519044138.

It is an arithmetic number, because the mean of its divisors is an integer number (5225718960000).

Almost surely, 2^{643075672050336} 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 643075672050336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003338040320000).

643075672050336 is an abundant number, since it is smaller than the sum of its proper divisors (1363600408589664).

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

643075672050336 is a wasteful number, since it uses less digits than its factorization.

643075672050336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37204 (or 37196 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 57.

The spelling of 643075672050336 in words is "six hundred forty-three trillion, seventy-five billion, six hundred seventy-two million, fifty thousand, three hundred thirty-six".