10322629632 has 440 divisors, whose sum is σ = 36808269696. Its totient is φ = 2817441792.

The previous prime is 10322629631. The next prime is 10322629673. The reversal of 10322629632 is 23692622301.

It is a happy number.

10322629632 is a `hidden beast` number, since 1 + 0 + 3 + 22 + 629 + 6 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10322629631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13353598 + ... + 13354370.

Almost surely, 2^10322629632 is an apocalyptic number.

10322629632 is a gapful number since it is divisible by the number (12) 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 10322629632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18404134848).

10322629632 is an abundant number, since it is smaller than the sum of its proper divisors (26485640064).

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

10322629632 is an equidigital number, since it uses as much as digits as its factorization.

10322629632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 10322629632 in words is "ten billion, three hundred twenty-two million, six hundred twenty-nine thousand, six hundred thirty-two".