5753767968 has 288 divisors, whose sum is σ = 18389170800. Its totient is φ = 1694343168.

The previous prime is 5753767961. The next prime is 5753767973. The reversal of 5753767968 is 8697673575.

5753767968 is a `hidden beast` number, since 5 + 7 + 537 + 6 + 7 + 96 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2166716304 + 3587051664 = 46548^2 + 59892^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5753767961) 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, 21389338 + ... + 21389606.

Almost surely, 2^5753767968 is an apocalyptic number.

5753767968 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 5753767968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9194585400).

5753767968 is an abundant number, since it is smaller than the sum of its proper divisors (12635402832).

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

5753767968 is a wasteful number, since it uses less digits than its factorization.

5753767968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 513 counting only the distinct ones).

The product of its digits is 66679200, while the sum is 63.

The square root of 5753767968 is about 75853.5956168196. The cubic root of 5753767968 is about 1791.9151778782.

The spelling of 5753767968 in words is "five billion, seven hundred fifty-three million, seven hundred sixty-seven thousand, nine hundred sixty-eight".