10732968806641 has 27 divisors (see below), whose sum is σ = 11519383483083. Its totient is φ = 9998197112640.

The previous prime is 10732968806563. The next prime is 10732968806657. The reversal of 10732968806641 is 14660886923701.

It is a happy number.

The square root of 10732968806641 is 3276121.

It is a perfect power (a square), and thus also a powerful number.

10732968806641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8356117583025 + 2376851223616 = 2890695^2 + 1541704^2 .

It is not a de Polignac number, because 10732968806641 - 2¹⁵ = 10732968773873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10732968806641.

It is not an unprimeable number, because it can be changed into a prime (10732968806671) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5736486936 + ... + 5736488806.

Almost surely, 2^{10732968806641} is an apocalyptic number.

10732968806641 is the 3276121-st square number.

10732968806641 is the 1638061-st centered octagonal number.

It is an amenable number.

10732968806641 is a deficient number, since it is larger than the sum of its proper divisors (786414676442).

10732968806641 is an frugal number, since it uses more digits than its factorization.

10732968806641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3982 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 61.

It can be divided in two parts, 10732968 and 806641, that added together give a square (11539609 = 3397²).

The spelling of 10732968806641 in words is "ten trillion, seven hundred thirty-two billion, nine hundred sixty-eight million, eight hundred six thousand, six hundred forty-one".