5689764000 has 480 divisors, whose sum is σ = 22133167056. Its totient is φ = 1426636800.

The previous prime is 5689763987. The next prime is 5689764089. The reversal of 5689764000 is 4679865.

It can be written as a sum of positive squares in 8 ways, for example, as 1957531536 + 3732232464 = 44244^2 + 61092^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 5507484 + ... + 5508516.

Almost surely, 2^5689764000 is an apocalyptic number.

5689764000 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 5689764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11066583528).

5689764000 is an abundant number, since it is smaller than the sum of its proper divisors (16443403056).

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

5689764000 is a wasteful number, since it uses less digits than its factorization.

5689764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1060 counting only the distinct ones).

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

The square root of 5689764000 is about 75430.5243253684. The cubic root of 5689764000 is about 1785.2460645175.

The spelling of 5689764000 in words is "five billion, six hundred eighty-nine million, seven hundred sixty-four thousand".