5764759000 has 384 divisors, whose sum is σ = 18252449280. Its totient is φ = 1654848000.

The previous prime is 5764758991. The next prime is 5764759003. The reversal of 5764759000 is 9574675.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5764759003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13012779 + ... + 13013221.

It is an arithmetic number, because the mean of its divisors is an integer number (47532420).

Almost surely, 2^5764759000 is an apocalyptic number.

5764759000 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 5764759000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9126224640).

5764759000 is an abundant number, since it is smaller than the sum of its proper divisors (12487690280).

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

5764759000 is a wasteful number, since it uses less digits than its factorization.

5764759000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 43.

The square root of 5764759000 is about 75926.0100360871. The cubic root of 5764759000 is about 1793.0554433987.

The spelling of 5764759000 in words is "five billion, seven hundred sixty-four million, seven hundred fifty-nine thousand".