6541856256 has 320 divisors, whose sum is σ = 20266202880. Its totient is φ = 1857945600.

The previous prime is 6541856239. The next prime is 6541856263. The reversal of 6541856256 is 6526581456.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16313656 + ... + 16314056.

It is an arithmetic number, because the mean of its divisors is an integer number (63331884).

Almost surely, 2^6541856256 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 6541856256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10133101440).

6541856256 is an abundant number, since it is smaller than the sum of its proper divisors (13724346624).

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

6541856256 is a wasteful number, since it uses less digits than its factorization.

6541856256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 481 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 48.

The square root of 6541856256 is about 80881.7424144658. The cubic root of 6541856256 is about 1870.2528808594.

The spelling of 6541856256 in words is "six billion, five hundred forty-one million, eight hundred fifty-six thousand, two hundred fifty-six".