5741668291968 has 896 divisors, whose sum is σ = 20773052596800. Its totient is φ = 1545067560960.

The previous prime is 5741668291913. The next prime is 5741668291991. The reversal of 5741668291968 is 8691928661475.

5741668291968 is a `hidden beast` number, since 5 + 7 + 416 + 68 + 2 + 91 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5741668291896 and 5741668291905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 776632080 + ... + 776639472.

Almost surely, 2^{5741668291968} is an apocalyptic number.

5741668291968 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 5741668291968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10386526298400).

5741668291968 is an abundant number, since it is smaller than the sum of its proper divisors (15031384304832).

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

5741668291968 is an equidigital number, since it uses as much as digits as its factorization.

5741668291968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7502 (or 7475 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 72.

The spelling of 5741668291968 in words is "five trillion, seven hundred forty-one billion, six hundred sixty-eight million, two hundred ninety-one thousand, nine hundred sixty-eight".