6493688256 has 224 divisors, whose sum is σ = 20092220928. Its totient is φ = 1830850560.

The previous prime is 6493688249. The next prime is 6493688261. The reversal of 6493688256 is 6528863946.

It is a super-2 number, since 2×6493688256² = 84335974332224643072, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6493688196 and 6493688205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1795506 + ... + 1799118.

Almost surely, 2^6493688256 is an apocalyptic number.

6493688256 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 6493688256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10046110464).

6493688256 is an abundant number, since it is smaller than the sum of its proper divisors (13598532672).

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

6493688256 is a wasteful number, since it uses less digits than its factorization.

6493688256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699 (or 3689 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 57.

The square root of 6493688256 is about 80583.4242012587. The cubic root of 6493688256 is about 1865.6513147045.

The spelling of 6493688256 in words is "six billion, four hundred ninety-three million, six hundred eighty-eight thousand, two hundred fifty-six".