6671240964405 has 288 divisors, whose sum is σ = 12767940057600. Its totient is φ = 3211434749952.

The previous prime is 6671240964391. The next prime is 6671240964419. The reversal of 6671240964405 is 5044690421766.

6671240964405 is a `hidden beast` number, since 6 + 6 + 71 + 2 + 40 + 96 + 440 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (6671240964391) and next prime (6671240964419).

It is not a de Polignac number, because 6671240964405 - 2⁴ = 6671240964389 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 42491980587 + ... + 42491980743.

It is an arithmetic number, because the mean of its divisors is an integer number (44333125200).

Almost surely, 2^{6671240964405} is an apocalyptic number.

It is an amenable number.

6671240964405 is a deficient number, since it is larger than the sum of its proper divisors (6096699093195).

6671240964405 is a wasteful number, since it uses less digits than its factorization.

6671240964405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 6671240964405 in words is "six trillion, six hundred seventy-one billion, two hundred forty million, nine hundred sixty-four thousand, four hundred five".