6496803456 has 384 divisors, whose sum is σ = 21503232000. Its totient is φ = 1718046720.

The previous prime is 6496803449. The next prime is 6496803473. The reversal of 6496803456 is 6543086946.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 6496803399 and 6496803408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13563025 + ... + 13563503.

It is an arithmetic number, because the mean of its divisors is an integer number (55998000).

Almost surely, 2^6496803456 is an apocalyptic number.

6496803456 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 6496803456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10751616000).

6496803456 is an abundant number, since it is smaller than the sum of its proper divisors (15006428544).

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

6496803456 is a wasteful number, since it uses less digits than its factorization.

6496803456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The square root of 6496803456 is about 80602.7509207967. The cubic root of 6496803456 is about 1865.9496016780.

The spelling of 6496803456 in words is "six billion, four hundred ninety-six million, eight hundred three thousand, four hundred fifty-six".