5684264960 has 272 divisors, whose sum is σ = 15854348160. Its totient is φ = 1934622720.

The previous prime is 5684264953. The next prime is 5684264977. The reversal of 5684264960 is 694624865.

It is a super-3 number, since 3×5684264960³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5684264899 and 5684264908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68485079 + ... + 68485161.

Almost surely, 2^5684264960 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 5684264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7927174080).

5684264960 is an abundant number, since it is smaller than the sum of its proper divisors (10170083200).

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

5684264960 is an equidigital number, since it uses as much as digits as its factorization.

5684264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

The square root of 5684264960 is about 75394.0644878627. The cubic root of 5684264960 is about 1784.6707445859.

The spelling of 5684264960 in words is "five billion, six hundred eighty-four million, two hundred sixty-four thousand, nine hundred sixty".