5384976000 has 256 divisors, whose sum is σ = 18273340800. Its totient is φ = 1402060800.

The previous prime is 5384975989. The next prime is 5384976001. The reversal of 5384976000 is 6794835.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5384976001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2062696 + ... + 2065304.

Almost surely, 2^5384976000 is an apocalyptic number.

5384976000 is a gapful number since it is divisible by the number (50) 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 5384976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9136670400).

5384976000 is an abundant number, since it is smaller than the sum of its proper divisors (12888364800).

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

5384976000 is a wasteful number, since it uses less digits than its factorization.

5384976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 5384976000 is about 73382.3957090527. The cubic root of 5384976000 is about 1752.7820782238.

The spelling of 5384976000 in words is "five billion, three hundred eighty-four million, nine hundred seventy-six thousand".