7390668961 has 27 divisors (see below), whose sum is σ = 8523275691. Its totient is φ = 6404346624.

The previous prime is 7390668949. The next prime is 7390668973. The reversal of 7390668961 is 1698660937.

The square root of 7390668961 is 85969.

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

7390668961 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 (7390668949) and next prime (7390668973).

It can be written as a sum of positive squares in 13 ways, for example, as 6204555361 + 1186113600 = 78769^2 + 34440^2 .

It is not a de Polignac number, because 7390668961 - 2⁷ = 7390668833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7390668931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18998955 + ... + 18999343.

Almost surely, 2^7390668961 is an apocalyptic number.

7390668961 is the 85969-th square number.

7390668961 is the 42985-th centered octagonal number.

It is an amenable number.

7390668961 is a deficient number, since it is larger than the sum of its proper divisors (1132606730).

7390668961 is an equidigital number, since it uses as much as digits as its factorization.

7390668961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 55.

The cubic root of 7390668961 is about 1947.8757460201.

The spelling of 7390668961 in words is "seven billion, three hundred ninety million, six hundred sixty-eight thousand, nine hundred sixty-one".