6407066393 has 48 divisors (see below), whose sum is σ = 8180585280. Its totient is φ = 4972915584.

The previous prime is 6407066383. The next prime is 6407066431. The reversal of 6407066393 is 3936607046.

6407066393 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6407066393 - 2⁴ = 6407066377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6407066383) 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 in 47 ways as a sum of consecutive naturals, for example, 9463571 + ... + 9464247.

It is an arithmetic number, because the mean of its divisors is an integer number (170428860).

Almost surely, 2^6407066393 is an apocalyptic number.

It is an amenable number.

6407066393 is a deficient number, since it is larger than the sum of its proper divisors (1773518887).

6407066393 is a wasteful number, since it uses less digits than its factorization.

6407066393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 44.

The square root of 6407066393 is about 80044.1527720795. The cubic root of 6407066393 is about 1857.3186006690.

The spelling of 6407066393 in words is "six billion, four hundred seven million, sixty-six thousand, three hundred ninety-three".