6497018656 has 96 divisors (see below), whose sum is σ = 14181931008. Its totient is φ = 2914222080.

The previous prime is 6497018597. The next prime is 6497018681. The reversal of 6497018656 is 6568107946.

It is a super-3 number, since 3×6497018656³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 4416001 + ... + 4417471.

It is an arithmetic number, because the mean of its divisors is an integer number (147728448).

Almost surely, 2^6497018656 is an apocalyptic number.

6497018656 is the 50979-th centered pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6497018656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7090965504).

6497018656 is an abundant number, since it is smaller than the sum of its proper divisors (7684912352).

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

6497018656 is a wasteful number, since it uses less digits than its factorization.

6497018656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The square root of 6497018656 is about 80604.0858517730. The cubic root of 6497018656 is about 1865.9702040108.

The spelling of 6497018656 in words is "six billion, four hundred ninety-seven million, eighteen thousand, six hundred fifty-six".