6496761523728 has 400 divisors, whose sum is σ = 20906126208000. Its totient is φ = 1734191053056.

The previous prime is 6496761523711. The next prime is 6496761523739. The reversal of 6496761523728 is 8273251676946.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 113951773 + ... + 114008771.

It is an arithmetic number, because the mean of its divisors is an integer number (52265315520).

Almost surely, 2^{6496761523728} 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 6496761523728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10453063104000).

6496761523728 is an abundant number, since it is smaller than the sum of its proper divisors (14409364684272).

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

6496761523728 is a wasteful number, since it uses less digits than its factorization.

6496761523728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57104 (or 57077 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 66.

The spelling of 6496761523728 in words is "six trillion, four hundred ninety-six billion, seven hundred sixty-one million, five hundred twenty-three thousand, seven hundred twenty-eight".