10689312744 has 320 divisors, whose sum is σ = 34443066240. Its totient is φ = 3065610240.

The previous prime is 10689312743. The next prime is 10689312757. The reversal of 10689312744 is 44721398601.

It is a super-2 number, since 2×10689312744² (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 10689312744.

It is not an unprimeable number, because it can be changed into a prime (10689312743) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18525384 + ... + 18525960.

It is an arithmetic number, because the mean of its divisors is an integer number (107634582).

Almost surely, 2^10689312744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10689312744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17221533120).

10689312744 is an abundant number, since it is smaller than the sum of its proper divisors (23753753496).

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

10689312744 is a wasteful number, since it uses less digits than its factorization.

10689312744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10689312744 in words is "ten billion, six hundred eighty-nine million, three hundred twelve thousand, seven hundred forty-four".