2668635313344 has 2688 divisors, whose sum is σ = 11349632286720. Its totient is φ = 576892108800.

The previous prime is 2668635313319. The next prime is 2668635313349. The reversal of 2668635313344 is 4433135368662.

2668635313344 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 63 + 531 + 3 + 3 + 44 = 666.

It is a super-2 number, since 2×2668635313344² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2668635313349) 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, 36556648092 + ... + 36556648164.

It is an arithmetic number, because the mean of its divisors is an integer number (4222333440).

Almost surely, 2^{2668635313344} is an apocalyptic number.

2668635313344 is a gapful number since it is divisible by the number (24) 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 2668635313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5674816143360).

2668635313344 is an abundant number, since it is smaller than the sum of its proper divisors (8680996973376).

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

2668635313344 is a wasteful number, since it uses less digits than its factorization.

2668635313344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 54.

The spelling of 2668635313344 in words is "two trillion, six hundred sixty-eight billion, six hundred thirty-five million, three hundred thirteen thousand, three hundred forty-four".