10633343072 has 96 divisors (see below), whose sum is σ = 23878520064. Its totient is φ = 4613875200.

The previous prime is 10633343059. The next prime is 10633343089. The reversal of 10633343072 is 27034333601.

10633343072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10633343072² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5350463 + ... + 5352449.

It is an arithmetic number, because the mean of its divisors is an integer number (248734584).

Almost surely, 2^10633343072 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 10633343072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11939260032).

10633343072 is an abundant number, since it is smaller than the sum of its proper divisors (13245176992).

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

10633343072 is a wasteful number, since it uses less digits than its factorization.

10633343072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 32.

Adding to 10633343072 its reverse (27034333601), we get a palindrome (37667676673).

The spelling of 10633343072 in words is "ten billion, six hundred thirty-three million, three hundred forty-three thousand, seventy-two".