6495736896 has 336 divisors, whose sum is σ = 21469136640. Its totient is φ = 1923609600.

The previous prime is 6495736837. The next prime is 6495736901. The reversal of 6495736896 is 6986375946.

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 47 ways as a sum of consecutive naturals, for example, 9826806 + ... + 9827466.

It is an arithmetic number, because the mean of its divisors is an integer number (63896240).

Almost surely, 2^6495736896 is an apocalyptic number.

6495736896 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 6495736896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10734568320).

6495736896 is an abundant number, since it is smaller than the sum of its proper divisors (14973399744).

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

6495736896 is a wasteful number, since it uses less digits than its factorization.

6495736896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 724 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The square root of 6495736896 is about 80596.1344978778. The cubic root of 6495736896 is about 1865.8474870440.

The spelling of 6495736896 in words is "six billion, four hundred ninety-five million, seven hundred thirty-six thousand, eight hundred ninety-six".