6407007641 has 2 divisors, whose sum is σ = 6407007642. Its totient is φ = 6407007640.

The previous prime is 6407007637. The next prime is 6407007643. The reversal of 6407007641 is 1467007046.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3205824400 + 3201183241 = 56620^2 + 56579^2 .

It is a cyclic number.

It is not a de Polignac number, because 6407007641 - 2² = 6407007637 is a prime.

Together with 6407007643, 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 (6407007643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3203503820 + 3203503821.

It is an arithmetic number, because the mean of its divisors is an integer number (3203503821).

Almost surely, 2^6407007641 is an apocalyptic number.

It is an amenable number.

6407007641 is a deficient number, since it is larger than the sum of its proper divisors (1).

6407007641 is an equidigital number, since it uses as much as digits as its factorization.

6407007641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 6407007641 is about 80043.7857737876. The cubic root of 6407007641 is about 1857.3129235250.

The spelling of 6407007641 in words is "six billion, four hundred seven million, seven thousand, six hundred forty-one".