5384816640 has 576 divisors, whose sum is σ = 22629559680. Its totient is φ = 1156055040.

The previous prime is 5384816621. The next prime is 5384816677. The reversal of 5384816640 is 466184835.

5384816640 is a `hidden beast` number, since 538 + 48 + 16 + 64 + 0 = 666.

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

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10966795 + ... + 10967285.

It is an arithmetic number, because the mean of its divisors is an integer number (39287430).

Almost surely, 2^5384816640 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 5384816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11314779840).

5384816640 is an abundant number, since it is smaller than the sum of its proper divisors (17244743040).

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

5384816640 is a wasteful number, since it uses less digits than its factorization.

5384816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 5384816640 is about 73381.3098820129. The cubic root of 5384816640 is about 1752.7647877656.

The spelling of 5384816640 in words is "five billion, three hundred eighty-four million, eight hundred sixteen thousand, six hundred forty".