5782135968 has 384 divisors, whose sum is σ = 20309667840. Its totient is φ = 1564738560.

The previous prime is 5782135963. The next prime is 5782135981. The reversal of 5782135968 is 8695312875.

5782135968 is a `hidden beast` number, since 578 + 2 + 1 + 3 + 5 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5782135963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27403383 + ... + 27403593.

It is an arithmetic number, because the mean of its divisors is an integer number (52889760).

Almost surely, 2^5782135968 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 5782135968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10154833920).

5782135968 is an abundant number, since it is smaller than the sum of its proper divisors (14527531872).

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

5782135968 is a wasteful number, since it uses less digits than its factorization.

5782135968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 443 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 5782135968 is about 76040.3574952143. The cubic root of 5782135968 is about 1794.8552649547.

The spelling of 5782135968 in words is "five billion, seven hundred eighty-two million, one hundred thirty-five thousand, nine hundred sixty-eight".