9726894720 has 160 divisors (see below), whose sum is σ = 34736682420. Its totient is φ = 2593824768.

The previous prime is 9726894677. The next prime is 9726894721. The reversal of 9726894720 is 274986279.

9726894720 is a `hidden beast` number, since 97 + 2 + 6 + 89 + 472 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8909849664 + 817045056 = 94392^2 + 28584^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×9726894720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9726894721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41977 + ... + 145656.

Almost surely, 2^9726894720 is an apocalyptic number.

9726894720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9726894720 is an abundant number, since it is smaller than the sum of its proper divisors (25009787700).

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

9726894720 is a wasteful number, since it uses less digits than its factorization.

9726894720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187664 (or 187643 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 9726894720 is about 98625.0207604541. The cubic root of 9726894720 is about 2134.6404680269.

The spelling of 9726894720 in words is "nine billion, seven hundred twenty-six million, eight hundred ninety-four thousand, seven hundred twenty".