5685361920 has 576 divisors, whose sum is σ = 23452692480. Its totient is φ = 1277337600.

The previous prime is 5685361907. The next prime is 5685361931. The reversal of 5685361920 is 291635865.

5685361920 is a `hidden beast` number, since 5 + 6 + 8 + 5 + 3 + 619 + 20 = 666.

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

It is a super-3 number, since 3×5685361920³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17176155 + ... + 17176485.

It is an arithmetic number, because the mean of its divisors is an integer number (40716480).

Almost surely, 2^5685361920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5685361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11726346240).

5685361920 is an abundant number, since it is smaller than the sum of its proper divisors (17767330560).

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

5685361920 is a wasteful number, since it uses less digits than its factorization.

5685361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5685361920 is about 75401.3389801534. The cubic root of 5685361920 is about 1784.7855402258.

The spelling of 5685361920 in words is "five billion, six hundred eighty-five million, three hundred sixty-one thousand, nine hundred twenty".