7821096864273 has 768 divisors, whose sum is σ = 16365581107200. Its totient is φ = 3477551616000.

The previous prime is 7821096864167. The next prime is 7821096864277. The reversal of 7821096864273 is 3724686901287.

7821096864273 is a `hidden beast` number, since 7 + 8 + 210 + 96 + 8 + 64 + 273 = 666.

It is not a de Polignac number, because 7821096864273 - 2⁹ = 7821096863761 is a prime.

It is a super-2 number, since 2×7821096864273² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 7821096864273.

It is not an unprimeable number, because it can be changed into a prime (7821096864277) 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 767 ways as a sum of consecutive naturals, for example, 87877492813 + ... + 87877492901.

It is an arithmetic number, because the mean of its divisors is an integer number (21309350400).

Almost surely, 2^{7821096864273} is an apocalyptic number.

It is an amenable number.

7821096864273 is an abundant number, since it is smaller than the sum of its proper divisors (8544484242927).

7821096864273 is a wasteful number, since it uses less digits than its factorization.

7821096864273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 7821096864273 in words is "seven trillion, eight hundred twenty-one billion, ninety-six million, eight hundred sixty-four thousand, two hundred seventy-three".