6409759859664 has 80 divisors (see below), whose sum is σ = 18924402094080. Its totient is φ = 1831326168960.

The previous prime is 6409759859627. The next prime is 6409759859731. The reversal of 6409759859664 is 4669589579046.

It is a self number, because there is not a number n which added to its sum of digits gives 6409759859664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22342249 + ... + 22627319.

It is an arithmetic number, because the mean of its divisors is an integer number (236555026176).

Almost surely, 2^{6409759859664} is an apocalyptic number.

It is an amenable number.

6409759859664 is an abundant number, since it is smaller than the sum of its proper divisors (12514642234416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6409759859664 is a wasteful number, since it uses less digits than its factorization.

6409759859664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352008 (or 352002 counting only the distinct ones).

The product of its (nonzero) digits is 3527193600, while the sum is 78.

The spelling of 6409759859664 in words is "six trillion, four hundred nine billion, seven hundred fifty-nine million, eight hundred fifty-nine thousand, six hundred sixty-four".