5668779761568 has 1152 divisors, whose sum is σ = 21728000286720. Its totient is φ = 1410668421120.

The previous prime is 5668779761563. The next prime is 5668779761569. The reversal of 5668779761568 is 8651679778665.

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (6401203200) is a multiple of the sum of its prime factors (2592).

It is not an unprimeable number, because it can be changed into a prime (5668779761563) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2378840505 + ... + 2378842887.

It is an arithmetic number, because the mean of its divisors is an integer number (18861111360).

Almost surely, 2^{5668779761568} is an apocalyptic number.

5668779761568 is a gapful number since it is divisible by the number (58) 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 5668779761568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10864000143360).

5668779761568 is an abundant number, since it is smaller than the sum of its proper divisors (16059220525152).

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

5668779761568 is a wasteful number, since it uses less digits than its factorization.

5668779761568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2572 counting only the distinct ones).

The product of its digits is 6401203200, while the sum is 81.

The spelling of 5668779761568 in words is "five trillion, six hundred sixty-eight billion, seven hundred seventy-nine million, seven hundred sixty-one thousand, five hundred sixty-eight".