5768496000 has 320 divisors, whose sum is σ = 21429167760. Its totient is φ = 1537920000.

The previous prime is 5768495977. The next prime is 5768496001. The reversal of 5768496000 is 6948675.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×5768496000² = 66551092204032000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5768496001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1293775 + ... + 1298225.

Almost surely, 2^5768496000 is an apocalyptic number.

5768496000 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 5768496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10714583880).

5768496000 is an abundant number, since it is smaller than the sum of its proper divisors (15660671760).

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

5768496000 is an equidigital number, since it uses as much as digits as its factorization.

5768496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4492 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5768496000 is about 75950.6155340429. The cubic root of 5768496000 is about 1793.4428085842.

The spelling of 5768496000 in words is "five billion, seven hundred sixty-eight million, four hundred ninety-six thousand".