10632324000 has 192 divisors, whose sum is σ = 36665516160. Its totient is φ = 2686003200.

The previous prime is 10632323953. The next prime is 10632324023. The reversal of 10632324000 is 42323601.

It is a happy number.

10632324000 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 2×10632324000² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 204684 + ... + 251316.

It is an arithmetic number, because the mean of its divisors is an integer number (190966230).

Almost surely, 2^10632324000 is an apocalyptic number.

10632324000 is a gapful number since it is divisible by the number (10) 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 10632324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18332758080).

10632324000 is an abundant number, since it is smaller than the sum of its proper divisors (26033192160).

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

10632324000 is a wasteful number, since it uses less digits than its factorization.

10632324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46680 (or 46662 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10632324000 its reverse (42323601), we get a palindrome (10674647601).

The spelling of 10632324000 in words is "ten billion, six hundred thirty-two million, three hundred twenty-four thousand".