7172768961 has 24 divisors (see below), whose sum is σ = 10439231400. Its totient is φ = 4745642496.

The previous prime is 7172768947. The next prime is 7172768989. The reversal of 7172768961 is 1698672717.

7172768961 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3949368336 + 3223400625 = 62844^2 + 56775^2 .

It is not a de Polignac number, because 7172768961 - 2⁵ = 7172768929 is a prime.

It is a super-2 number, since 2×7172768961² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7172768898 and 7172768907.

It is not an unprimeable number, because it can be changed into a prime (7172768461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2966425 + ... + 2968841.

It is an arithmetic number, because the mean of its divisors is an integer number (434967975).

Almost surely, 2^7172768961 is an apocalyptic number.

It is an amenable number.

7172768961 is a deficient number, since it is larger than the sum of its proper divisors (3266462439).

7172768961 is a wasteful number, since it uses less digits than its factorization.

7172768961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4785 (or 4782 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 54.

The square root of 7172768961 is about 84692.2012997655. The cubic root of 7172768961 is about 1928.5413160425.

The spelling of 7172768961 in words is "seven billion, one hundred seventy-two million, seven hundred sixty-eight thousand, nine hundred sixty-one".