4537984320 has 336 divisors, whose sum is σ = 16585021440. Its totient is φ = 1135669248.

The previous prime is 4537984219. The next prime is 4537984331. The reversal of 4537984320 is 234897354.

4537984320 is a `hidden beast` number, since 4 + 537 + 9 + 84 + 32 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 6949114 + ... + 6949766.

Almost surely, 2^4537984320 is an apocalyptic number.

4537984320 is a gapful number since it is divisible by the number (40) 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 4537984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8292510720).

4537984320 is an abundant number, since it is smaller than the sum of its proper divisors (12047037120).

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

4537984320 is a wasteful number, since it uses less digits than its factorization.

4537984320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4537984320 is about 67364.5627908324. The cubic root of 4537984320 is about 1655.5958546078.

The spelling of 4537984320 in words is "four billion, five hundred thirty-seven million, nine hundred eighty-four thousand, three hundred twenty".