10643006304 has 144 divisors (see below), whose sum is σ = 35705779200. Its totient is φ = 2942749440.

The previous prime is 10643006299. The next prime is 10643006357. The reversal of 10643006304 is 40360034601.

10643006304 is a `hidden beast` number, since 10 + 643 + 0 + 0 + 6 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10643006304² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22654 + ... + 147645.

It is an arithmetic number, because the mean of its divisors is an integer number (247956800).

Almost surely, 2^10643006304 is an apocalyptic number.

10643006304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10643006304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17852889600).

10643006304 is an abundant number, since it is smaller than the sum of its proper divisors (25062772896).

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

10643006304 is a wasteful number, since it uses less digits than its factorization.

10643006304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170353 (or 170342 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 10643006304 in words is "ten billion, six hundred forty-three million, six thousand, three hundred four".