6385867089504 has 96 divisors (see below), whose sum is σ = 19279624525056. Its totient is φ = 1812912192000.

The previous prime is 6385867089493. The next prime is 6385867089541. The reversal of 6385867089504 is 4059807685836.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30158122 + ... + 30369129.

It is an arithmetic number, because the mean of its divisors is an integer number (200829422136).

Almost surely, 2^{6385867089504} is an apocalyptic number.

It is an amenable number.

6385867089504 is an abundant number, since it is smaller than the sum of its proper divisors (12893757435552).

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

6385867089504 is a wasteful number, since it uses less digits than its factorization.

6385867089504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60527428 (or 60527420 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 69.

The spelling of 6385867089504 in words is "six trillion, three hundred eighty-five billion, eight hundred sixty-seven million, eighty-nine thousand, five hundred four".