6385404080256 has 128 divisors (see below), whose sum is σ = 17209421688960. Its totient is φ = 2097354792960.

The previous prime is 6385404080239. The next prime is 6385404080267. The reversal of 6385404080256 is 6520804045836.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 6385404080199 and 6385404080208.

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, 51112140 + ... + 51236916.

It is an arithmetic number, because the mean of its divisors is an integer number (134448606945).

Almost surely, 2^{6385404080256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6385404080256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8604710844480).

6385404080256 is an abundant number, since it is smaller than the sum of its proper divisors (10824017608704).

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

6385404080256 is a wasteful number, since it uses less digits than its factorization.

6385404080256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126742 (or 126730 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 6385404080256 in words is "six trillion, three hundred eighty-five billion, four hundred four million, eighty thousand, two hundred fifty-six".