10740936960 has 540 divisors, whose sum is σ = 41684728932. Its totient is φ = 2639609856.

The previous prime is 10740936883. The next prime is 10740936967. The reversal of 10740936960 is 6963904701.

It can be written as a sum of positive squares in 6 ways, for example, as 5802782976 + 4938153984 = 76176^2 + 70272^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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 (10740936967) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17521614 + ... + 17522226.

Almost surely, 2^10740936960 is an apocalyptic number.

10740936960 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 10740936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20842364466).

10740936960 is an abundant number, since it is smaller than the sum of its proper divisors (30943791972).

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

10740936960 is an equidigital number, since it uses as much as digits as its factorization.

10740936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 10740936960 in words is "ten billion, seven hundred forty million, nine hundred thirty-six thousand, nine hundred sixty".