5750784000 has 576 divisors, whose sum is σ = 22900812480. Its totient is φ = 1415577600.

The previous prime is 5750783963. The next prime is 5750784007. The reversal of 5750784000 is 4870575.

5750784000 is a `hidden beast` number, since 575 + 0 + 7 + 84 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×5750784000² = 66143033229312000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5750784007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442367994 + ... + 442368006.

It is an arithmetic number, because the mean of its divisors is an integer number (39758355).

Almost surely, 2^5750784000 is an apocalyptic number.

5750784000 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 5750784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11450406240).

5750784000 is an abundant number, since it is smaller than the sum of its proper divisors (17150028480).

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

5750784000 is an frugal number, since it uses more digits than its factorization.

5750784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 5750784000 is about 75833.9238072250. The cubic root of 5750784000 is about 1791.6053552723.

The spelling of 5750784000 in words is "five billion, seven hundred fifty million, seven hundred eighty-four thousand".