5918728320 has 640 divisors, whose sum is σ = 22748774400. Its totient is φ = 1463132160.

The previous prime is 5918728261. The next prime is 5918728331. The reversal of 5918728320 is 238278195.

It is a happy number.

5918728320 is a `hidden beast` number, since 591 + 8 + 7 + 28 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46604097 + ... + 46604223.

It is an arithmetic number, because the mean of its divisors is an integer number (35544960).

Almost surely, 2^5918728320 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 5918728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11374387200).

5918728320 is an abundant number, since it is smaller than the sum of its proper divisors (16830046080).

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

5918728320 is a wasteful number, since it uses less digits than its factorization.

5918728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 5918728320 is about 76933.2718659489. The cubic root of 5918728320 is about 1808.8787985100.

The spelling of 5918728320 in words is "five billion, nine hundred eighteen million, seven hundred twenty-eight thousand, three hundred twenty".