5965968384 has 352 divisors, whose sum is σ = 19120617600. Its totient is φ = 1831403520.

The previous prime is 5965968377. The next prime is 5965968391. The reversal of 5965968384 is 4838695695.

5965968384 is a `hidden beast` number, since 5 + 9 + 6 + 596 + 8 + 38 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5965968377) and next prime (5965968391).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 21537654 + ... + 21537930.

Almost surely, 2^5965968384 is an apocalyptic number.

5965968384 is a gapful number since it is divisible by the number (54) 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 5965968384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9560308800).

5965968384 is an abundant number, since it is smaller than the sum of its proper divisors (13154649216).

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

5965968384 is a wasteful number, since it uses less digits than its factorization.

5965968384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 342 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The square root of 5965968384 is about 77239.6814079395. The cubic root of 5965968384 is about 1813.6785463482.

The spelling of 5965968384 in words is "five billion, nine hundred sixty-five million, nine hundred sixty-eight thousand, three hundred eighty-four".