6497398955520 has 1600 divisors, whose sum is σ = 28298576275200. Its totient is φ = 1404288368640.

The previous prime is 6497398955507. The next prime is 6497398955527. The reversal of 6497398955520 is 255598937946.

It is a happy number.

6497398955520 is a `hidden beast` number, since 6 + 4 + 9 + 7 + 3 + 9 + 8 + 95 + 5 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6497398955527) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 736745671 + ... + 736754489.

It is an arithmetic number, because the mean of its divisors is an integer number (17686610172).

Almost surely, 2^{6497398955520} is an apocalyptic number.

6497398955520 is a gapful number since it is divisible by the number (60) 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 6497398955520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14149288137600).

6497398955520 is an abundant number, since it is smaller than the sum of its proper divisors (21801177319680).

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

6497398955520 is a wasteful number, since it uses less digits than its factorization.

6497398955520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8901 (or 8876 counting only the distinct ones).

The product of its (nonzero) digits is 734832000, while the sum is 72.

The spelling of 6497398955520 in words is "six trillion, four hundred ninety-seven billion, three hundred ninety-eight million, nine hundred fifty-five thousand, five hundred twenty".