6268847105664 has 1280 divisors, whose sum is σ = 22333609267200. Its totient is φ = 1730885345280.

The previous prime is 6268847105663. The next prime is 6268847105693. The reversal of 6268847105664 is 4665017488626.

It is a happy number.

6268847105664 is a `hidden beast` number, since 6 + 2 + 68 + 8 + 4 + 7 + 1 + 0 + 566 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (6268847105663) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31821558814 + ... + 31821559010.

It is an arithmetic number, because the mean of its divisors is an integer number (17448132240).

Almost surely, 2^{6268847105664} is an apocalyptic number.

6268847105664 is a gapful number since it is divisible by the number (64) 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 6268847105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11166804633600).

6268847105664 is an abundant number, since it is smaller than the sum of its proper divisors (16064762161536).

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

6268847105664 is a wasteful number, since it uses less digits than its factorization.

6268847105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 6268847105664 in words is "six trillion, two hundred sixty-eight billion, eight hundred forty-seven million, one hundred five thousand, six hundred sixty-four".