10464312320 has 528 divisors, whose sum is σ = 33454202880. Its totient is φ = 3065610240.

The previous prime is 10464312281. The next prime is 10464312329. The reversal of 10464312320 is 2321346401.

It is a self number, because there is not a number n which added to its sum of digits gives 10464312320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10464312329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82396097 + ... + 82396223.

Almost surely, 2^10464312320 is an apocalyptic number.

10464312320 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 10464312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16727101440).

10464312320 is an abundant number, since it is smaller than the sum of its proper divisors (22989890560).

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

10464312320 is a wasteful number, since it uses less digits than its factorization.

10464312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 10464312320 its reverse (2321346401), we get a palindrome (12785658721).

The spelling of 10464312320 in words is "ten billion, four hundred sixty-four million, three hundred twelve thousand, three hundred twenty".