7642777001 has 2 divisors, whose sum is σ = 7642777002. Its totient is φ = 7642777000.

The previous prime is 7642776937. The next prime is 7642777003. The reversal of 7642777001 is 1007772467.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6013847401 + 1628929600 = 77549^2 + 40360^2 .

It is a cyclic number.

It is not a de Polignac number, because 7642777001 - 2⁶ = 7642776937 is a prime.

Together with 7642777003, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 7642777001.

It is not a weakly prime, because it can be changed into another prime (7642777003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3821388500 + 3821388501.

It is an arithmetic number, because the mean of its divisors is an integer number (3821388501).

Almost surely, 2^7642777001 is an apocalyptic number.

It is an amenable number.

7642777001 is a deficient number, since it is larger than the sum of its proper divisors (1).

7642777001 is an equidigital number, since it uses as much as digits as its factorization.

7642777001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 115248, while the sum is 41.

The square root of 7642777001 is about 87422.9775345132. The cubic root of 7642777001 is about 1969.7770025097. Note that the first 3 decimals are identical.

The spelling of 7642777001 in words is "seven billion, six hundred forty-two million, seven hundred seventy-seven thousand, one".