6404973756407 has 16 divisors (see below), whose sum is σ = 6536888186400. Its totient is φ = 6274400901120.

The previous prime is 6404973756371. The next prime is 6404973756421. The reversal of 6404973756407 is 7046573794046.

It is a cyclic number.

It is not a de Polignac number, because 6404973756407 - 2¹⁸ = 6404973494263 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6404973756407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6404973756427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190908608 + ... + 190942154.

It is an arithmetic number, because the mean of its divisors is an integer number (408555511650).

Almost surely, 2^{6404973756407} is an apocalyptic number.

6404973756407 is a deficient number, since it is larger than the sum of its proper divisors (131914429993).

6404973756407 is a wasteful number, since it uses less digits than its factorization.

6404973756407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53426.

The product of its (nonzero) digits is 106686720, while the sum is 62.

The spelling of 6404973756407 in words is "six trillion, four hundred four billion, nine hundred seventy-three million, seven hundred fifty-six thousand, four hundred seven".