9737264370681 has 9 divisors (see below), whose sum is σ = 14064950946319. Its totient is φ = 6491503339536.

The previous prime is 9737264370661. The next prime is 9737264370689. The reversal of 9737264370681 is 1860734627379.

The square root of 9737264370681 is 3120459.

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

9737264370681 is a `hidden beast` number, since 9 + 73 + 72 + 6 + 437 + 0 + 68 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7487912324025 + 2249352046656 = 2736405^2 + 1499784^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 9737264370681 - 2³¹ = 9735116887033 is a prime.

It is a super-2 number, since 2×9737264370681² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9737264370689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8841301 + ... + 9881453.

Almost surely, 2^{9737264370681} is an apocalyptic number.

9737264370681 is the 3120459-th square number.

9737264370681 is the 1560230-th centered octagonal number.

It is an amenable number.

9737264370681 is a deficient number, since it is larger than the sum of its proper divisors (4327686575638).

9737264370681 is an frugal number, since it uses more digits than its factorization.

9737264370681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080312 (or 1040156 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 9737264370681 in words is "nine trillion, seven hundred thirty-seven billion, two hundred sixty-four million, three hundred seventy thousand, six hundred eighty-one".