5764217200 has 240 divisors, whose sum is σ = 16971413760. Its totient is φ = 1836380160.

The previous prime is 5764217083. The next prime is 5764217201. The reversal of 5764217200 is 27124675.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5764217201) 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, 3950071 + ... + 3951529.

It is an arithmetic number, because the mean of its divisors is an integer number (70714224).

Almost surely, 2^5764217200 is an apocalyptic number.

5764217200 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 5764217200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8485706880).

5764217200 is an abundant number, since it is smaller than the sum of its proper divisors (11207196560).

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

5764217200 is a wasteful number, since it uses less digits than its factorization.

5764217200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 5764217200 is about 75922.4420049830. The cubic root of 5764217200 is about 1792.9992682909. Note that the first 3 decimals are identical.

The spelling of 5764217200 in words is "five billion, seven hundred sixty-four million, two hundred seventeen thousand, two hundred".