9777257673 has 16 divisors (see below), whose sum is σ = 13512437760. Its totient is φ = 6284264976.

The previous prime is 9777257663. The next prime is 9777257683. The reversal of 9777257673 is 3767527779.

9777257673 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9777257663) and next prime (9777257683).

It is not a de Polignac number, because 9777257673 - 2¹³ = 9777249481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9777257653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 508033 + ... + 526926.

It is an arithmetic number, because the mean of its divisors is an integer number (844527360).

Almost surely, 2^9777257673 is an apocalyptic number.

It is an amenable number.

9777257673 is a deficient number, since it is larger than the sum of its proper divisors (3735180087).

9777257673 is a wasteful number, since it uses less digits than its factorization.

9777257673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035076.

The product of its digits is 27227340, while the sum is 60.

The square root of 9777257673 is about 98880.0165503627. The cubic root of 9777257673 is about 2138.3183044629.

The spelling of 9777257673 in words is "nine billion, seven hundred seventy-seven million, two hundred fifty-seven thousand, six hundred seventy-three".