10644490584 has 448 divisors, whose sum is σ = 38076272640. Its totient is φ = 2712579840.

The previous prime is 10644490567. The next prime is 10644490589. The reversal of 10644490584 is 48509444601.

10644490584 is a `hidden beast` number, since 1 + 0 + 64 + 4 + 4 + 9 + 0 + 584 = 666.

It is a super-2 number, since 2×10644490584² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10644490589) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 16451749 + ... + 16452395.

It is an arithmetic number, because the mean of its divisors is an integer number (84991680).

Almost surely, 2^10644490584 is an apocalyptic number.

10644490584 is a gapful number since it is divisible by the number (14) 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 10644490584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19038136320).

10644490584 is an abundant number, since it is smaller than the sum of its proper divisors (27431782056).

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

10644490584 is a wasteful number, since it uses less digits than its factorization.

10644490584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 10644490584 in words is "ten billion, six hundred forty-four million, four hundred ninety thousand, five hundred eighty-four".