643945171296 has 192 divisors, whose sum is σ = 1942291008000. Its totient is φ = 182991384576.

The previous prime is 643945171273. The next prime is 643945171307. The reversal of 643945171296 is 692171549346.

643945171296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98263956 + ... + 98270508.

It is an arithmetic number, because the mean of its divisors is an integer number (10116099000).

Almost surely, 2^643945171296 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 643945171296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971145504000).

643945171296 is an abundant number, since it is smaller than the sum of its proper divisors (1298345836704).

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

643945171296 is a wasteful number, since it uses less digits than its factorization.

643945171296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7341 (or 7333 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 57.

The spelling of 643945171296 in words is "six hundred forty-three billion, nine hundred forty-five million, one hundred seventy-one thousand, two hundred ninety-six".