7667491957 has 2 divisors, whose sum is σ = 7667491958. Its totient is φ = 7667491956.

The previous prime is 7667491903. The next prime is 7667492011. The reversal of 7667491957 is 7591947667.

It is a balanced prime because it is at equal distance from previous prime (7667491903) and next prime (7667492011).

It can be written as a sum of positive squares in only one way, i.e., 4485516676 + 3181975281 = 66974^2 + 56409^2 .

It is a cyclic number.

It is not a de Polignac number, because 7667491957 - 2⁷ = 7667491829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7667491895 and 7667491904.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7667491157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3833745978 + 3833745979.

It is an arithmetic number, because the mean of its divisors is an integer number (3833745979).

Almost surely, 2^7667491957 is an apocalyptic number.

It is an amenable number.

7667491957 is a deficient number, since it is larger than the sum of its proper divisors (1).

7667491957 is an equidigital number, since it uses as much as digits as its factorization.

7667491957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20003760, while the sum is 61.

The square root of 7667491957 is about 87564.2161901767. The cubic root of 7667491957 is about 1971.8979841712.

The spelling of 7667491957 in words is "seven billion, six hundred sixty-seven million, four hundred ninety-one thousand, nine hundred fifty-seven".