5381760384 has 576 divisors, whose sum is σ = 20965651200. Its totient is φ = 1286737920.

The previous prime is 5381760383. The next prime is 5381760389. The reversal of 5381760384 is 4830671835.

5381760384 is a `hidden beast` number, since 5 + 38 + 1 + 7 + 603 + 8 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5381760383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14990797 + ... + 14991155.

It is an arithmetic number, because the mean of its divisors is an integer number (36398700).

Almost surely, 2^5381760384 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 5381760384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10482825600).

5381760384 is an abundant number, since it is smaller than the sum of its proper divisors (15583890816).

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

5381760384 is a wasteful number, since it uses less digits than its factorization.

5381760384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5381760384 is about 73360.4824411617. The cubic root of 5381760384 is about 1752.4331199146.

The spelling of 5381760384 in words is "five billion, three hundred eighty-one million, seven hundred sixty thousand, three hundred eighty-four".