5763564000 has 288 divisors, whose sum is σ = 21012578496. Its totient is φ = 1495065600.

The previous prime is 5763563977. The next prime is 5763564007. The reversal of 5763564000 is 4653675.

5763564000 is a `hidden beast` number, since 5 + 7 + 6 + 3 + 5 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (5763564007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1329837 + ... + 1334163.

It is an arithmetic number, because the mean of its divisors is an integer number (72960342).

Almost surely, 2^5763564000 is an apocalyptic number.

5763564000 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 5763564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10506289248).

5763564000 is an abundant number, since it is smaller than the sum of its proper divisors (15249014496).

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

5763564000 is a wasteful number, since it uses less digits than its factorization.

5763564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 5763564000 is about 75918.1401247423. The cubic root of 5763564000 is about 1792.9315382868.

The spelling of 5763564000 in words is "five billion, seven hundred sixty-three million, five hundred sixty-four thousand".