5746351968 has 288 divisors, whose sum is σ = 19971753984. Its totient is φ = 1529819136.

The previous prime is 5746351967. The next prime is 5746351969. The reversal of 5746351968 is 8691536475.

5746351968 is a `hidden beast` number, since 5 + 7 + 4 + 63 + 519 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (5746351967) and next prime (5746351969).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5746351967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3666321 + ... + 3667887.

It is an arithmetic number, because the mean of its divisors is an integer number (69346368).

Almost surely, 2^5746351968 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 5746351968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9985876992).

5746351968 is an abundant number, since it is smaller than the sum of its proper divisors (14225402016).

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

5746351968 is a wasteful number, since it uses less digits than its factorization.

5746351968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1703 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 5746351968 is about 75804.6962133613. The cubic root of 5746351968 is about 1791.1449836663.

The spelling of 5746351968 in words is "five billion, seven hundred forty-six million, three hundred fifty-one thousand, nine hundred sixty-eight".