5768574000 has 320 divisors, whose sum is σ = 21696230400. Its totient is φ = 1318060800.

The previous prime is 5768573989. The next prime is 5768574001. The reversal of 5768574000 is 4758675.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5768574001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2056599 + ... + 2059401.

It is an arithmetic number, because the mean of its divisors is an integer number (67800720).

Almost surely, 2^5768574000 is an apocalyptic number.

5768574000 is a gapful number since it is divisible by the number (50) 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 5768574000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10848115200).

5768574000 is an abundant number, since it is smaller than the sum of its proper divisors (15927656400).

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

5768574000 is a wasteful number, since it uses less digits than its factorization.

5768574000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 5768574000 is about 75951.1290238664. The cubic root of 5768574000 is about 1793.4508920262.

The spelling of 5768574000 in words is "five billion, seven hundred sixty-eight million, five hundred seventy-four thousand".