6268365353952 has 960 divisors, whose sum is σ = 21016003599360. Its totient is φ = 1819934355456.

The previous prime is 6268365353947. The next prime is 6268365354029. The reversal of 6268365353952 is 2593535638626.

6268365353952 is a `hidden beast` number, since 6 + 2 + 6 + 8 + 3 + 6 + 535 + 3 + 95 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6268365353952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5652267574 + ... + 5652268682.

It is an arithmetic number, because the mean of its divisors is an integer number (21891670416).

Almost surely, 2^{6268365353952} 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 6268365353952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10508001799680).

6268365353952 is an abundant number, since it is smaller than the sum of its proper divisors (14747638245408).

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

6268365353952 is a wasteful number, since it uses less digits than its factorization.

6268365353952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1300 counting only the distinct ones).

The product of its digits is 209952000, while the sum is 63.

The spelling of 6268365353952 in words is "six trillion, two hundred sixty-eight billion, three hundred sixty-five million, three hundred fifty-three thousand, nine hundred fifty-two".