10632816640 has 72 divisors (see below), whose sum is σ = 25537591170. Its totient is φ = 4248952832.

The previous prime is 10632816619. The next prime is 10632816641. The reversal of 10632816640 is 4661823601.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9569534976 + 1063281664 = 97824^2 + 32608^2 .

It is a super-2 number, since 2×10632816640² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10632816640.

It is not an unprimeable number, because it can be changed into a prime (10632816641) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10434051 + ... + 10435069.

Almost surely, 2^10632816640 is an apocalyptic number.

10632816640 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 10632816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12768795585).

10632816640 is an abundant number, since it is smaller than the sum of its proper divisors (14904774530).

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

10632816640 is an frugal number, since it uses more digits than its factorization.

10632816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 10632816640 in words is "ten billion, six hundred thirty-two million, eight hundred sixteen thousand, six hundred forty".