7457037712667 has 2 divisors, whose sum is σ = 7457037712668. Its totient is φ = 7457037712666.

The previous prime is 7457037712529. The next prime is 7457037712669. The reversal of 7457037712667 is 7662177307547.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 7457037712667 - 2³⁰ = 7455963970843 is a prime.

It is a super-2 number, since 2×7457037712667² (a number of 27 digits) contains 22 as substring.

Together with 7457037712669, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (7457037712669) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3728518856333 + 3728518856334.

It is an arithmetic number, because the mean of its divisors is an integer number (3728518856334).

Almost surely, 2^{7457037712667} is an apocalyptic number.

7457037712667 is a deficient number, since it is larger than the sum of its proper divisors (1).

7457037712667 is an equidigital number, since it uses as much as digits as its factorization.

7457037712667 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72606240, while the sum is 62.

The spelling of 7457037712667 in words is "seven trillion, four hundred fifty-seven billion, thirty-seven million, seven hundred twelve thousand, six hundred sixty-seven".