10744860960 has 144 divisors (see below), whose sum is σ = 36696788856. Its totient is φ = 2862956544.

The previous prime is 10744860923. The next prime is 10744860967. The reversal of 10744860960 is 6906844701.

10744860960 is a `hidden beast` number, since 10 + 74 + 486 + 0 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10406448144 + 338412816 = 102012^2 + 18396^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10744860967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2441482 + ... + 2445878.

Almost surely, 2^10744860960 is an apocalyptic number.

10744860960 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 10744860960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18348394428).

10744860960 is an abundant number, since it is smaller than the sum of its proper divisors (25951927896).

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

10744860960 is a wasteful number, since it uses less digits than its factorization.

10744860960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6115 (or 6104 counting only the distinct ones).

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

The spelling of 10744860960 in words is "ten billion, seven hundred forty-four million, eight hundred sixty thousand, nine hundred sixty".