6496163840 has 192 divisors, whose sum is σ = 16587698400. Its totient is φ = 2434793472.

The previous prime is 6496163833. The next prime is 6496163857. The reversal of 6496163840 is 483616946.

It is a super-3 number, since 3×6496163840³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33658784 + ... + 33658976.

Almost surely, 2^6496163840 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 6496163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8293849200).

6496163840 is an abundant number, since it is smaller than the sum of its proper divisors (10091534560).

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

6496163840 is a wasteful number, since it uses less digits than its factorization.

6496163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 47.

The square root of 6496163840 is about 80598.7831173647. The cubic root of 6496163840 is about 1865.8883648766. Note that the first 3 decimals are identical.

The spelling of 6496163840 in words is "six billion, four hundred ninety-six million, one hundred sixty-three thousand, eight hundred forty".