643830869360 has 320 divisors, whose sum is σ = 1842002104320. Its totient is φ = 204267847680.

The previous prime is 643830869273. The next prime is 643830869393. The reversal of 643830869360 is 63968038346.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 643830869296 and 643830869305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193282895 + ... + 193286225.

It is an arithmetic number, because the mean of its divisors is an integer number (5756256576).

Almost surely, 2^643830869360 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 643830869360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921001052160).

643830869360 is an abundant number, since it is smaller than the sum of its proper divisors (1198171234960).

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

643830869360 is a wasteful number, since it uses less digits than its factorization.

643830869360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 56.

The spelling of 643830869360 in words is "six hundred forty-three billion, eight hundred thirty million, eight hundred sixty-nine thousand, three hundred sixty".