10664638320 has 320 divisors, whose sum is σ = 38768947200. Its totient is φ = 2424102912.

The previous prime is 10664638273. The next prime is 10664638337. The reversal of 10664638320 is 2383646601.

It is a super-2 number, since 2×10664638320² (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 63 ways as a sum of consecutive naturals, for example, 29058777 + ... + 29059143.

It is an arithmetic number, because the mean of its divisors is an integer number (121152960).

Almost surely, 2^10664638320 is an apocalyptic number.

10664638320 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 10664638320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19384473600).

10664638320 is an abundant number, since it is smaller than the sum of its proper divisors (28104308880).

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

10664638320 is a wasteful number, since it uses less digits than its factorization.

10664638320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 10664638320 in words is "ten billion, six hundred sixty-four million, six hundred thirty-eight thousand, three hundred twenty".