643322828610 has 1024 divisors, whose sum is σ = 2373498961920. Its totient is φ = 119895552000.

The previous prime is 643322828569. The next prime is 643322828677. The reversal of 643322828610 is 16828223346.

643322828610 is a `hidden beast` number, since 6 + 4 + 3 + 3 + 2 + 2 + 8 + 28 + 610 = 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 511 ways as a sum of consecutive naturals, for example, 777899017 + ... + 777899843.

It is an arithmetic number, because the mean of its divisors is an integer number (2317870080).

Almost surely, 2^643322828610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643322828610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186749480960).

643322828610 is an abundant number, since it is smaller than the sum of its proper divisors (1730176133310).

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

643322828610 is a wasteful number, since it uses less digits than its factorization.

643322828610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 643322828610 in words is "six hundred forty-three billion, three hundred twenty-two million, eight hundred twenty-eight thousand, six hundred ten".