6497347717536 has 384 divisors, whose sum is σ = 19993791283200. Its totient is φ = 1829572116480.

The previous prime is 6497347717519. The next prime is 6497347717541. The reversal of 6497347717536 is 6357177437946.

It is a super-2 number, since 2×6497347717536² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 424128885 + ... + 424144203.

It is an arithmetic number, because the mean of its divisors is an integer number (52067164800).

Almost surely, 2^{6497347717536} 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 6497347717536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9996895641600).

6497347717536 is an abundant number, since it is smaller than the sum of its proper divisors (13496443565664).

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

6497347717536 is a wasteful number, since it uses less digits than its factorization.

6497347717536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15972 (or 15964 counting only the distinct ones).

The product of its digits is 560105280, while the sum is 69.

The spelling of 6497347717536 in words is "six trillion, four hundred ninety-seven billion, three hundred forty-seven million, seven hundred seventeen thousand, five hundred thirty-six".