9768262678084 has 27 divisors (see below), whose sum is σ = 17332647856797. Its totient is φ = 4817000399904.

The previous prime is 9768262678081. The next prime is 9768262678121. The reversal of 9768262678084 is 4808762628679.

The square root of 9768262678084 is 3125422.

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

It can be written as a sum of positive squares in only one way, i.e., 5544941752900 + 4223320925184 = 2354770^2 + 2055072^2 .

It is a super-2 number, since 2×9768262678084² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (73).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9768262677998 and 9768262678016.

It is not an unprimeable number, because it can be changed into a prime (9768262678081) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 456300909 + ... + 456322315.

Almost surely, 2^{9768262678084} is an apocalyptic number.

9768262678084 is the 3125422-nd square number.

It is an amenable number.

9768262678084 is a deficient number, since it is larger than the sum of its proper divisors (7564385178713).

9768262678084 is an frugal number, since it uses more digits than its factorization.

9768262678084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42964 (or 21482 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 73.

The spelling of 9768262678084 in words is "nine trillion, seven hundred sixty-eight billion, two hundred sixty-two million, six hundred seventy-eight thousand, eighty-four".