6497555638350 has 384 divisors, whose sum is σ = 18851705413632. Its totient is φ = 1450537920000.

The previous prime is 6497555638313. The next prime is 6497555638369. The reversal of 6497555638350 is 538365557946.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2904583432 + ... + 2904585668.

It is an arithmetic number, because the mean of its divisors is an integer number (49092982848).

Almost surely, 2^{6497555638350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6497555638350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9425852706816).

6497555638350 is an abundant number, since it is smaller than the sum of its proper divisors (12354149775282).

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

6497555638350 is a wasteful number, since it uses less digits than its factorization.

6497555638350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 408240000, while the sum is 66.

The spelling of 6497555638350 in words is "six trillion, four hundred ninety-seven billion, five hundred fifty-five million, six hundred thirty-eight thousand, three hundred fifty".