6497997520896 has 960 divisors, whose sum is σ = 23919569843400. Its totient is φ = 1746766135296.

The previous prime is 6497997520891. The next prime is 6497997520907. The reversal of 6497997520896 is 6980257997946.

6497997520896 is a `hidden beast` number, since 6 + 4 + 9 + 7 + 9 + 9 + 7 + 520 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6497997520891) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2210953795 + ... + 2210956733.

Almost surely, 2^{6497997520896} 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 6497997520896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11959784921700).

6497997520896 is an abundant number, since it is smaller than the sum of its proper divisors (17421572322504).

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

6497997520896 is an equidigital number, since it uses as much as digits as its factorization.

6497997520896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 3703553280, while the sum is 81.

The spelling of 6497997520896 in words is "six trillion, four hundred ninety-seven billion, nine hundred ninety-seven million, five hundred twenty thousand, eight hundred ninety-six".