5749085664 has 144 divisors (see below), whose sum is σ = 19668055680. Its totient is φ = 1556133120.

The previous prime is 5749085623. The next prime is 5749085669. The reversal of 5749085664 is 4665809475.

5749085664 is a `hidden beast` number, since 5 + 74 + 9 + 0 + 8 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 5749085664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5749085669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36742 + ... + 113349.

It is an arithmetic number, because the mean of its divisors is an integer number (136583720).

Almost surely, 2^5749085664 is an apocalyptic number.

It is an amenable number.

5749085664 is an abundant number, since it is smaller than the sum of its proper divisors (13918970016).

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

5749085664 is a wasteful number, since it uses less digits than its factorization.

5749085664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150133 (or 150122 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 5749085664 is about 75822.7252477778. The cubic root of 5749085664 is about 1791.4289707740.

The spelling of 5749085664 in words is "five billion, seven hundred forty-nine million, eighty-five thousand, six hundred sixty-four".