6348641410650 has 768 divisors, whose sum is σ = 20390534922240. Its totient is φ = 1269369446400.

The previous prime is 6348641410621. The next prime is 6348641410651. The reversal of 6348641410650 is 560141468436.

It is a super-2 number, since 2×6348641410650² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6348641410650.

It is not an unprimeable number, because it can be changed into a prime (6348641410651) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6230265841 + ... + 6230266859.

It is an arithmetic number, because the mean of its divisors is an integer number (26550175680).

Almost surely, 2^{6348641410650} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6348641410650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10195267461120).

6348641410650 is an abundant number, since it is smaller than the sum of its proper divisors (14041893511590).

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

6348641410650 is a wasteful number, since it uses less digits than its factorization.

6348641410650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 6348641410650 in words is "six trillion, three hundred forty-eight billion, six hundred forty-one million, four hundred ten thousand, six hundred fifty".