6496579320 has 512 divisors, whose sum is σ = 25291284480. Its totient is φ = 1296046080.

The previous prime is 6496579289. The next prime is 6496579321. The reversal of 6496579320 is 239756946.

It is a super-2 number, since 2×6496579320² = 84411085722103324800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6496579321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32977462 + ... + 32977658.

It is an arithmetic number, because the mean of its divisors is an integer number (49397040).

Almost surely, 2^6496579320 is an apocalyptic number.

6496579320 is a gapful number since it is divisible by the number (60) 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 6496579320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12645642240).

6496579320 is an abundant number, since it is smaller than the sum of its proper divisors (18794705160).

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

6496579320 is a wasteful number, since it uses less digits than its factorization.

6496579320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The square root of 6496579320 is about 80601.3605344227. The cubic root of 6496579320 is about 1865.9281433669.

The spelling of 6496579320 in words is "six billion, four hundred ninety-six million, five hundred seventy-nine thousand, three hundred twenty".