6497335988472 has 768 divisors, whose sum is σ = 21388325529600. Its totient is φ = 1605925601280.

The previous prime is 6497335988461. The next prime is 6497335988497. The reversal of 6497335988472 is 2748895337946.

It is a junction number, because it is equal to n+sod(n) for n = 6497335988394 and 6497335988403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10136249272 + ... + 10136249912.

It is an arithmetic number, because the mean of its divisors is an integer number (27849382200).

Almost surely, 2^{6497335988472} 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 6497335988472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10694162764800).

6497335988472 is an abundant number, since it is smaller than the sum of its proper divisors (14890989541128).

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

6497335988472 is a wasteful number, since it uses less digits than its factorization.

6497335988472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1035 counting only the distinct ones).

The product of its digits is 2194698240, while the sum is 75.

The spelling of 6497335988472 in words is "six trillion, four hundred ninety-seven billion, three hundred thirty-five million, nine hundred eighty-eight thousand, four hundred seventy-two".