6497120256 has 208 divisors, whose sum is σ = 19192889088. Its totient is φ = 1938227200.

The previous prime is 6497120141. The next prime is 6497120261. The reversal of 6497120256 is 6520217946.

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, 9596590 + ... + 9597266.

Almost surely, 2^6497120256 is an apocalyptic number.

6497120256 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6497120256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9596444544).

6497120256 is an abundant number, since it is smaller than the sum of its proper divisors (12695768832).

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

6497120256 is a wasteful number, since it uses less digits than its factorization.

6497120256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 6497120256 is about 80604.7160903132. The cubic root of 6497120256 is about 1865.9799306046.

The spelling of 6497120256 in words is "six billion, four hundred ninety-seven million, one hundred twenty thousand, two hundred fifty-six".