5646864384 has 312 divisors, whose sum is σ = 18945455360. Its totient is φ = 1587216384.

The previous prime is 5646864283. The next prime is 5646864401. The reversal of 5646864384 is 4834686465.

It is a super-3 number, since 3×5646864384³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5646864384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20385654 + ... + 20385930.

Almost surely, 2^5646864384 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 5646864384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9472727680).

5646864384 is an abundant number, since it is smaller than the sum of its proper divisors (13298590976).

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

5646864384 is a wasteful number, since it uses less digits than its factorization.

5646864384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 368 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The square root of 5646864384 is about 75145.6211897939. The cubic root of 5646864384 is about 1780.7479480963.

The spelling of 5646864384 in words is "five billion, six hundred forty-six million, eight hundred sixty-four thousand, three hundred eighty-four".